2. Let x'= [5, 1, 3] and y' =[-1, 3, 1]. (a) Find the inner product, y'x. (b) Find x- - 2y. (c) Find the length of x, Lx. (d) Find the length of y, Ly.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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2. Let x' = [5, 1, 3] and y' = [−1, 3, 1].
(a) Find the inner product, y'x.
(b) Find x - 2y.
(c) Find the length of x, Lx.
(d) Find the length of y, Ly.
(e) Find the unit vector of x (i.e., the unit vector with the same direction as x).
(f) Find the unit vector of y.
Transcribed Image Text:2. Let x' = [5, 1, 3] and y' = [−1, 3, 1]. (a) Find the inner product, y'x. (b) Find x - 2y. (c) Find the length of x, Lx. (d) Find the length of y, Ly. (e) Find the unit vector of x (i.e., the unit vector with the same direction as x). (f) Find the unit vector of y.
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