Chapter 9: Q. 16 (page 632)

In Problems 14–18, $P_{1} = (3 \sqrt{2}, 7 \sqrt{2})$ and $P_{2} = (8 \sqrt{2}, 2 \sqrt{2})$ .
Find the unit vector in the direction of $v$ .

Short Answer

Expert verified

The unit vector in the direction of $v$ is $<\frac{1}{\sqrt{2}}, - \frac{1}{\sqrt{2}}>$

Step by step solution

Step 1. Given information

The points are

$P_{1} = (3 \sqrt{2}, 7 \sqrt{2}) P_{2} = (8 \sqrt{2}, 2 \sqrt{2})$

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

Let the unit vector is $u$

$v = <5 \sqrt{2}, - 5 \sqrt{2}>$

role="math" localid="1646903121415" $u = \frac{v}{||v||} = \frac{<5 \sqrt{2}, - 5 \sqrt{2}>}{\sqrt{{(5 \sqrt{2})}^{2} + {(- 5 \sqrt{2})}^{2}}} = \frac{<5 \sqrt{2}, - 5 \sqrt{2}>}{10} = <\frac{1}{\sqrt{2}}, - \frac{1}{\sqrt{2}}>$

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In Problems 14–18, $P_{1} = (3 \sqrt{2}, 7 \sqrt{2})$ and $P_{2} = (8 \sqrt{2}, 2 \sqrt{2})$ .
Find the unit vector in the direction of $v$ .

Short Answer

Step by step solution

Step 1. Given information

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

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In Problems 14–18, P1=32,72 and P2=82,22.Find the unit vector in the direction ofv.

Short Answer

Step by step solution

Step 1. Given information

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

In Problems 14–18, $P_{1} = (3 \sqrt{2}, 7 \sqrt{2})$ and $P_{2} = (8 \sqrt{2}, 2 \sqrt{2})$ .
Find the unit vector in the direction of $v$ .