Let u = (3, 2, x) and v = (2x, 4, x). (a) Find all possible values of x that make u and v orthogonal. (b) Find projuv. (c) Use the cross product to determine if there are any values of x that make u and v parallel.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Let u = (3, 2,x) and v = (2x, 4, x).
(a) Find all possible values of x that make u and v orthogonal.
(b) Find projuv.
(c) Use the cross product to determine if there are any values of x that make u and v parallel.
Transcribed Image Text:2. Let u = (3, 2,x) and v = (2x, 4, x). (a) Find all possible values of x that make u and v orthogonal. (b) Find projuv. (c) Use the cross product to determine if there are any values of x that make u and v parallel.
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