Chapter 9: Q. 19 (page 621)

Find the distance from $P_{1}$ to $P_{2}$ .
role="math" localid="1646776246918" $P_{1} = (4, - 2, - 2) a n d P_{2} = (3, 2, 1)$

Short Answer

Expert verified

The distance between points $P_{1} = (4, - 2, - 2) a n d P_{2} = (3, 2, 1)$ is $\sqrt{26}$

Step by step solution

Step 1. Given data

The given points are

$P_{1} (x_{1}, y_{1}, z_{1}) = (4, - 2, - 2) P_{2} (x_{2}, y_{2}, z_{2}) = (3, 2, 1)$

Step 2. Distance between points

Use distance formula

$d (P_{1}, P_{2}) = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2} + {(z_{2} - z_{1})}^{2}} d (P_{1}, P_{2}) = \sqrt{{(3 - 4)}^{2} + {(2 - (- 2))}^{2} + {(1 - (- 2))}^{2}} d (P_{1}, P_{2}) = \sqrt{1 + 16 + 9} d (P_{1}, P_{2}) = \sqrt{26}$

so the distance between points is $\sqrt{26}$

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Find the distance from $P_{1}$ to $P_{2}$ .
role="math" localid="1646776246918" $P_{1} = (4, - 2, - 2) a n d P_{2} = (3, 2, 1)$

Short Answer

Step by step solution

Step 1. Given data

Step 2. Distance between points

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Find the distance from P1toP2.role="math" localid="1646776246918" P1=(4,-2,-2)andP2=(3,2,1)

Short Answer

Step by step solution

Step 1. Given data

Step 2. Distance between points

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Find the distance from $P_{1}$ to $P_{2}$ .
role="math" localid="1646776246918" $P_{1} = (4, - 2, - 2) a n d P_{2} = (3, 2, 1)$