You are given the following vectors in terms of their components in the 1.j. K basis: A-11+1j+2k B-11+-1j+2k C-0i+1j+-1k Use this set of vectors to construct a set of orthonormal basis vectors. To enter unit vectors, select "Vectors" on the PhysPad that opens when you click on the answer box. Select the "hat" and enter i, j, or k in the provided space using the buttons on the PhysPad. Once entered, you have to hit the right-arrow key or tab to move the cursor out from under the hat. If you do it incorrectly you will see the hat out of position over the vector. Please review your answer before submission. Take the first vector to be in the direction of A. +/+* Take the second vector to be in the A-B plane. V₂ = +0 The third vector should be perpendicular to the A-B plane in a right-handed sense.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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You are given the following vectors in terms of their components in the i, j, k basis:
A = 11+1j+2k
B = 11+-1j+2k
C=0i+1j+-1k
Use this set of vectors to construct a set of orthonormal basis vectors.
To enter unit vectors, select "Vectors" on the PhysPad that opens when you click on the answer box. Select the "hat" and enter i, j, or k in the provided space using the buttons on the PhysPad. Once entered, you have to hit the right-arrow key or tab to move the cursor out from under the hat. If you do it incorrectly you will see the hat out of
position over the vector. Please review your answer before submission.
Take the first vector to be in the direction of A.
V₁ =
Take the second vector to be in the A-B plane.
V₂ =
1 + 2/
V3 =
i + 0} − k
-
√5
31
The third vector should be perpendicular to the A-B plane in a right-handed sense.
Transcribed Image Text:You are given the following vectors in terms of their components in the i, j, k basis: A = 11+1j+2k B = 11+-1j+2k C=0i+1j+-1k Use this set of vectors to construct a set of orthonormal basis vectors. To enter unit vectors, select "Vectors" on the PhysPad that opens when you click on the answer box. Select the "hat" and enter i, j, or k in the provided space using the buttons on the PhysPad. Once entered, you have to hit the right-arrow key or tab to move the cursor out from under the hat. If you do it incorrectly you will see the hat out of position over the vector. Please review your answer before submission. Take the first vector to be in the direction of A. V₁ = Take the second vector to be in the A-B plane. V₂ = 1 + 2/ V3 = i + 0} − k - √5 31 The third vector should be perpendicular to the A-B plane in a right-handed sense.
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