   Chapter 11, Problem 29RE

Chapter
Section
Textbook Problem

# Finding the Projection of u onto v In Exercises 27 and 28, (a) find the projection of u onto v , and (b) find the vector component of u orthogonal to v . u = 〈 1 , − 1 , 1 〉 ,       v = 〈 2 , 0 , 2 〉

(a)

To determine

To calculate: For given vectors, find the projection of u=1,1,1 onto v=2,0,2.

Explanation

Given: The vectors are:

u=1,1,1v=2,0,2

Formula used: If u and v are nonzero vectors, then the projection of u onto v is:

projvu=(uvv2)v

Calculation:

The projection of u onto v is:

Given is

u=1,1,1v=2,0,

(b)

To determine

To calculate: For the given vectors, find vector component of u=1,1,1 orthogonal to v=2,0,2.

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