Q 37, Find v聽and find the unit vector... [FREE SOLUTION]

Chapter 10: Q 37, (page 801)

Find $||v||$ and find the unit vector in the direction of $v$ .
$v = (3, 鈭� 4)$

Short Answer

Expert verified

The norm of the vector $v = (3, - 4)$ is $5$ and the unit vector in the direction of $v = (3, - 4)$ is $\frac{1}{5} (3, - 4)$ .

Step by step solution

Step 1. Given information .

We have given vector $v = (3, - 4)$ .

Step 2. Find the norm of the vector and unit vector in the direction of v.

$||v|| = \sqrt{a^{2} + b^{2}} = \sqrt{3^{2} + {(- 4)}^{2}} = \sqrt{9 + 16} = \sqrt{25} = 5$

The unit vector in the direction of $v$ is $\frac{1}{||v||} v$ .

$\frac{1}{||v||} v = \frac{1}{5} (3, - 4)$

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91影视

Find $||v||$ and find the unit vector in the direction of $v$ .
$v = (3, 鈭� 4)$

Short Answer

Step by step solution

Step 1. Given information .

Step 2. Find the norm of the vector and unit vector in the direction of v.

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91影视

Find vand find the unit vector in the direction of v.v=3,鈭�4

Short Answer

Step by step solution

Step 1. Given information .

Step 2. Find the norm of the vector and unit vector in the direction of v.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Probability and Statistics

Discrete Mathematics

Applied Mathematics

Decision Maths

Geometry

Study anywhere. Anytime. Across all devices.

Find $||v||$ and find the unit vector in the direction of $v$ .
$v = (3, 鈭� 4)$