   Chapter 11, Problem 28RE

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 = 4 i + 2 j ,     v = 3 i + 4 j

(a)

To determine

To calculate: For The vectors:

u=4i+2jv=3i+4j

Find the projection of vectors.

Explanation

Given: The vectors are:

u=4i+2jv=3i+4j

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=4i+2jv=3

(b)

To determine

To calculate: For given vectors find The vector component of u=4i+2j orthogonal to v=3i+4j..

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