Given the vectors v and u, answer a. through d. below. v= 7i- 5k u= i+j+k a. Find the dot product of v and u. u•v = Find the length of v. |v| = (Type an exact answer, using radicals as needed.) %3D Find the length of u. Ju| = (Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. cos 0 = (Type an exact answer, using radicals as needed.) c. Find the scalar component of u in the direction of v. (Type an exact answer, using radicals as needed.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given the vectors v and u, answer a. through d. below.
v = 7i - 5k
u=i+j+k
a. Find the dot product of v and u.
u•v =
Find the length of v.
|v| =
(Type an exact answer, using radicals as needed.)
Find the length of u.
(Type an exact answer, using radicals as needed.)
%3D
b. Find the cosine of the angle between v and u.
Cos ) =
(Type an exact answer, using radicals as needed.)
c. Find the scalar component of u in the direction of v.
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:Given the vectors v and u, answer a. through d. below. v = 7i - 5k u=i+j+k a. Find the dot product of v and u. u•v = Find the length of v. |v| = (Type an exact answer, using radicals as needed.) Find the length of u. (Type an exact answer, using radicals as needed.) %3D b. Find the cosine of the angle between v and u. Cos ) = (Type an exact answer, using radicals as needed.) c. Find the scalar component of u in the direction of v. (Type an exact answer, using radicals as needed.)
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Given: v=7i-5k, u=i+j+k

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