Chapter 9: Q. 18 (page 632)

In Problems 14–18, $P_{1} = (3 \sqrt{2}, 7 \sqrt{2})$ and $P_{1} = (8 \sqrt{2}, 2 \sqrt{2})$ .
Decompose $v$ into its vertical and horizontal components.

Short Answer

Expert verified

The answer is $v = 5 \sqrt{2} \hat{i} - 5 \sqrt{2} \hat{j}$

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. Decompose v into its vertical and horizontal components.

The vector $v$ is $<5 \sqrt{2}, - 5 \sqrt{2}>$

The decomposition of vector into its vertical and horizontal components is $5 \sqrt{2} \hat{i} - 5 \sqrt{2} \hat{j}$

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In Problems 14–18, $P_{1} = (3 \sqrt{2}, 7 \sqrt{2})$ and $P_{1} = (8 \sqrt{2}, 2 \sqrt{2})$ .
Decompose $v$ into its vertical and horizontal components.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Decompose v into its vertical and horizontal components.

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In Problems 14–18, P1=32,72and P1=82,22.Decompose vinto its vertical and horizontal components.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Decompose v into its vertical and horizontal components.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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 $P_{1} = (8 \sqrt{2}, 2 \sqrt{2})$ .
Decompose $v$ into its vertical and horizontal components.