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Chapter 10: Q 38. (page 801)

In Exercises 37–42, find v and find the unit vector in the direction of v.

v=13,-23

Short Answer

Expert verified

v=1 and the unit vector in the direction of vis13,-23.

Step by step solution

01

Step 1. Given information.

The given vector is:

v=13,-23

02

Step 2. Find the norm of the vector.

v=13,-23v=132+-232=13+23=33=1

Therefore, the norm of the given vector is 1.

03

Step 3. Find the unit vector in the direction of v.

The unit vector in the direction of vis the vector:

1vv=1113,-23=13,-23

Therefore, the unit vector in the direction of v=13,-23is 13,-23.

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