Let x' = [4, 2, 1] and y' = [-1, 3, 0]. (a) Find 2x+y. (b) Find x'y. (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).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let x' = [4, 2, 1] and y' = [-1, 3, 0).
(a) Find 2x +y.
(b) Find x'y.
(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).
Transcribed Image Text:Let x' = [4, 2, 1] and y' = [-1, 3, 0). (a) Find 2x +y. (b) Find x'y. (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).
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