Given the vectors v and u, answer a. through d. below. v= 10i + 11j – 2k u= 7i + 24j ..... a. Find the dot product of v and u. u•v= 334 Find the length of v. |v = 15 (Simplify your answer. Type an exact answer, using radicals as needed.) Find the length of u. Ju| = 25 (Simplify your answer. Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. 334 cos ) = 375 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) c. Find the scalar component of u in the direction of v. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 2E
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Given the vectors v and u, answer a. through d. below.
v= 10i + 11j - 2k
u= 7i+24j
a. Find the dot product of v and u.
u•v= 334
Find the length of v.
|v| =
= 15 (Simplify your answer. Type an exact answer, using radicals as needed.)
Find the length of u.
Jul = 25 (Simplify your answer. Type an exact answer, using radicals as needed.)
b. Find the cosine of the angle between v and u.
334
cos ) =
375
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
c. Find the scalar component of u in the direction of v.
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:Given the vectors v and u, answer a. through d. below. v= 10i + 11j - 2k u= 7i+24j a. Find the dot product of v and u. u•v= 334 Find the length of v. |v| = = 15 (Simplify your answer. Type an exact answer, using radicals as needed.) Find the length of u. Jul = 25 (Simplify your answer. Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. 334 cos ) = 375 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) c. Find the scalar component of u in the direction of v. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
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