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Suppose v = 3i − 2j + k and b = 2i - 6j + 3k. (a) Find the vector component of v along b this is projív. (b) Find v vt? = v - projьv. Show that v. b = 0. What quantity is represented by

Suppose v = 3i − 2j + k and b = 2i - 6j + 3k. (a) Find the vector component of v along b this is projív. (b) Find v vt? = v - projьv. Show that v. b = 0. What quantity is represented by

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can someone please help with this question? for a) I keep getting (-6/7)i+(18/7)j-(9/7)k which is not right since for b) I need to get v⊥*b=0 which I don't get. 

Suppose v = 3i − 2j + k and b = 2i − 6j + 3k. (a) Find the vector component of v along b—this is projív. (b) Find v¹ = v – proj₁v. Show that v ⋅ b = 0. What quantity is represented by vt?
Transcribed Image Text:Suppose v = 3i − 2j + k and b = 2i − 6j + 3k. (a) Find the vector component of v along b—this is projív. (b) Find v¹ = v – proj₁v. Show that v ⋅ b = 0. What quantity is represented by vt?
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