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7.3.3

Find a nonzero vector that is perpendicular to the vector u = < -2, 7>

Solution:

Let

then

Given u and v are orthogonal

Mathcad thing

Compute the dot product and set it to zero.

For the vectors u, v and w shown in the figure, which one of the following relations is TRUE?

7.3.4

Thus,

You may choose any real number for

==>

Choose

Solve for

We can only solve for either or in terms of the other.

Solution:

e) ,

d) ,

c) ,

b) ,

a) ,

What is the direction angle q and the magnitude || v || of the vector

7.3.1. (001-Final-1 $7.3)

Section 7.3

A. M. Farhat

Solution of Old Exams Problems

Chapter 7

Math002

Solution:

e)

d)

c)

b)

a)

7.3.2 (002-Final-13 $7.3)

However, the coordinates of the vector states that the sin(q ) > 0 and cos(q ) < 0 ==>

or

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