   Chapter 11.3, Problem 35E

Chapter
Section
Textbook Problem

# Finding the Projection of u onto v In Exercises 37—-44, (a) find the projection of u onto v and (b) find the vector component of u orthogonal to v. u = 〈 6 , 7 〉 ,   v = 〈 1 , 4 〉

(a)

To determine

To calculate: The coordinate of projection of vector u=6,7 onto v=1,4.

Explanation

Given:

The vectors are u=6,7,v=1,4.

Formula used:

The projection of vector v onto the vector u is given by projvu=(uvv2)v

Calculation:

If u and v are non-zero vectors, then, the projection of u onto v is given by,

projvu=(uvv2)v

(b)

To determine

To calculate: The coordinate of the vector component of u=6,7 orthogonal to v=1,4.

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