b. Given the vectors a=2i-j+2 k, b=3 i + 2 j -k, c =i+2 k i. Calculate: 2a-(b-3c) ii. Determine the vector projection of conto b. iii. Find the cosine of the angle between a and b. iv. Find a unit vector that is perpendicular to the plane determined by a and c

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 33EQ
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b. Given the vectors a= 2 i- j + 2 k, b=3 i + 2 j -k, c⇒i + 2 k
i. Calculate: 2a (b-3c)
ii. Determine the vector projection of conto b.
iii. Find the cosine of the angle between a and b.
iv. Find a unit vector that is perpendicular to the plane determined by a and c
Transcribed Image Text:b. Given the vectors a= 2 i- j + 2 k, b=3 i + 2 j -k, c⇒i + 2 k i. Calculate: 2a (b-3c) ii. Determine the vector projection of conto b. iii. Find the cosine of the angle between a and b. iv. Find a unit vector that is perpendicular to the plane determined by a and c
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