Answered: Two vectors with lengths 1.00 m and…

Two vectors with lengths 1.00 m and 2.00 m have an angle, q = 30.0°, between them. What is the square of the length of the resultant vector?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 88CP: Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when...

See similar textbooks

Related questions

Q: Three displacement vectors have lengths 1 m, 2 m, and 4 m. Could they possibly add together to get a…

Q: Three vectors á, b, and c, each have a magnitude of 53.0 m and lie in an xy plane. Their directions…

Q: Determine the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i +…

A: Basically when we make dot product of two vectors then we get the angle between the vectors. Here…

Q: In Problem,the vector v has initial point P and terminal point Q.Write v in the form that is,find…

A: Given that Position of P is = ( 0,0) Position of Q is = (3,4)

Q: Given that u is a vector of magnitude 2.5, v is a vector of magnitude 3 and the angle between them…

Q: Given the two vectors A= 20.0 @ 30.0° and B= 17.0 @ 60.0°., What is A+ B in unit vector notation?

Q: Find the angle between each of the following pairs of vectors (1) A = 3.00i + 5.00j (2) A = -4.00i +…

A: 1) A→ = 3i^ + 5j^B→ = 10i^ + 6j^

Q: Find the angle between each of the following pairs of vectors. A = -2.00i + 6.00j and B = 2.00i –…

Q: Find the x− and y− components of the vectors A~, B~ , C~ , and D~ . Take A = 10.0, B = 7.00, C =…

Q: Vector A is 3 units in length and points along the positive x-axis, vector B is 4 units in length…

Q: vector A are: Ax = 5.1 m and Ay= -5 m and the components of B are: Bx= -2.6 m and Ay = -4.3 m. What…

A: This question is based on resultant of vectors.

Q: Given the displacement vectors A = (7.00 i - 2.00 j + 7.00 k) m and B = (8.00 î + 1.00 j - 8.00 k)…

A: (a) 15.0665 m (15.00) i + (-1.00) j + (-1.00) k (b) 23.345 m (6) i + (-5) j + (22) k

Q: Find the angle between the following pairs of vectors: A= -2.00i + 6.00j and B= 2.00i - 3.00j

Q: The figure shows three displacement vectors À , B , and Č .These vectors are arranged in tail-to-…

A: Please see the answer below.

Q: Given two vectors with equal magnitudes of 59 and their sum vector 93j. Find the angle between them.

Q: Given that vectors T = + 2.00x + 6.00y – 4.00z and D = 2.00x – 3.00y – 4.00z The angle between the…

A: Given that Vector T = +2x + 6y - 4z Vector D = 2x - 3y - 4z

Q: Given vectors a=(4,8) and b=(-3,0) Find the magnitude of the resultant vector: T = 2 a + 36

A: Represent the vectors a and b in their resolved component.

Q: The horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What the…

A: Given value--- horizontal component = 23.6 N. vertical component = 34.8 N. We have to find---…

Q: Two vectors, A and B have their tails at the origin and are described by parameters (r,θ), where r…

Q: Two vectors are given by d = (5.0 m)i - (6.0 m)ĵ + (1.0 m)k %3D and b = (-1.0 m)î + (1.0 m) ĵ + (2.5…

A: Given,a→ = 5.0 m i^ - 6.0 m j^ + 1.0 m k^b→ = -1.0 m i^ + 1.0 m j^ + 2.5 m k^

Q: Into which quadrant do each of the following vectors point? A Quadrant II 90°<0く180° Quadrant I 0"…

A: Questions based on vectors and quadrant system

Q: Let θ be the angle that the vector A vec. makes with the +xaxis,measured counterclockwise from that…

A: There are two physical quantities in nature- scalar and vector. Scalar quantities are those which…

Q: Find the resultant vectors. 1. A 10 M, NORTH = B = 20 M, NORTH 2. C= 15 M, WEST D = 20 M, WEST 3.…

Q: Vectors C and D have magnitudes of 3 m and 4 m, respectively. What is the angle between the…

Q: Given that u is a vector of magnitude 3, v is a vector of magnitude 4, and the angle between them…

A: Given: The magnitude of vector u is 3. The magnitude of vector v is 4. The angle between the vectors…

Q: What is the result of the combination of the component vectors, 92 km/h East and 79 km/h East? a…

A: 3. v1 = 92 km/h east v2 = 79 km/h east

Q: A vector has magnitude 12.7. Rounding off, which pair of components could not produce this vector? O…

Q: What are the polar coordinates of a vector whose component vectors are -6.50 m vertically and +9.60…

Q: Given the 3-dimensional vectors : A = i (xy) + j (2yz) + k (3zx) B = i (yz) + j (2zx) + k (3xy).…

Q: Given the vectors A = (-2î + j) m and B = (4î – ĵ) m- The direction of the resultant vector R = Ã +…

A: The given vector A is A→=-2i^+j^m The vector B is B→=4i^-j^m The resultant vector…

Q: Vectors Aand Bhave equal magnitudes of 5.00. If the sum of Aand Bis the vector 6.00j, determine the…

A: Given Information: The magnitude of the vector A and B is “5.00” Given that the resultant vector of…

Q: Two vectors, A and B,have magnitudes of 4.65 units and 9.36 units, respectively. The angle between A…

A: The scalar product between two vectors is given by,

Q: For the displacement vectors i = (3.0 m)î + (4.0 m)ĵ a (-2.0 m)j, give ř, + i, in (a) unit-vector…

A: Givenr1→=3.0 mi^+4.0 mj^r2→=5.0 mi^+-2.0 mj^

Q: Consider a Vector A =2î – 2 + 6k and another vector B=13î + 73 – 4.5k. Both of them has unit of…

Q: The figure shows four vectors, A, B, C , and D , having magnitudes 10.0 m, 8.00 m, 6.00 m, and 2.00…

A: The magnitude of vector A is, The magnitude of vector B is, The magnitude of vector C is, The…

Q: Find the direction of the vector sum of these two vectors by using components: 65 mm, 55 ∘∘; 70 mm,…

A: The component form of a vector is the coordinate form in which vector can be broken in to…

Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: For vector addition, we resolve each vector into horizontal and vertical components and then add…

Q: Vector A has a magnitude of 5.00 units, and vector B has a magnitude of 9.00 units. The two vectors…

A: A = 5.00 units B = 9.00 units angle between them(θ) = 50.0o

Q: Vectors A ⃗ and B ⃗ are two orthogonal vectors in the xy-plane and they have identical magnitudes.…

A: Given data: A→=3.0i^+4.0j^ A→=B→

Q: A vector is given by: i = (-2.11) + ( -4.28) ĵ+ ( 2.8 ) k. Determine the component of the unit…

Q: Two vectors vector A and vector B have precisely equal magnitudes. In order for the magnitude of…

A: Magnitude of A + B is 110 times the magnitude of A – B. Therefore,

Q: Given three vectors A= 5m W, B= 8m E, and an unknown vector C which lies along the x axis. If the…

A: A→ = 5 m due west B→ = 8 m due east Resultant of three vectors = R→= 2 m due west

Q: Two vectors A and B have precisely equal magnitudes. For the magnitude of A + B to be larger than…

A: The given condition is,

Q: show that the vectors A= 1/2 q1+ 1/2 q2+1/2 q3+ 1/2 q4 and B= 1/2 q1 - 1/2 q2 + 1/2 q3 - 1/2 q4 .…

A: Dot product is defined as: A⇀.B ⇀ = ABcos(θAB) The dot product of orthogonal vectors is 0, since the…

Question

100%

3 Two vectors with lengths 1.00 m and 2.00 m have an angle, q = 30.0°, between them. What is the square of the length
of the resultant vector?
O 1.54 m2
3.00 m2
7.00 m2
8.46 m?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Lei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
A vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction of the vector.
A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.
A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
The resultant vector R=2AB2C has zero magnitude. Vector A has an x component of 4.60 m and a y component of 12.1 m. and vector B has an x component of 3.00 m and a y component of 4.00 m. What are the x and y components of vector C? (All of these are two-dimensional vectors.)
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
Find the scalar components of three-dimensional vectors G and H in the following figure and write the vectors in vector component form in terms of the unit vectors of the axes.
A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?
A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector R has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?