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Chapter 9: Q. 17 (page 621)

find the distance between the two points
$P_{1} = (- 1, 2, - 3) P_{2} = (0, - 2, 1)$

Short Answer

Expert verified

$d = \sqrt{33}$

Step by step solution

01

Step 1. The given information is

$P_{1} = (- 1, 2, - 3) P_{2} = (0, - 2, 1)$

02

Step 2. Using the distance formulad(P1,P2)=(x2-x1)2+(y2-y1)2+(z2-z1)2

$d (P_{1}, P_{2}) = \sqrt{{(0 - (- 1))}^{2} + {(- 2 - 2)}^{2} + {(1 - (- 3))}^{2}} d (P_{1}, P_{2}) = \sqrt{1 + 16 + 16} d (P_{1}, P_{2}) = \sqrt{33}$

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Most popular questions from this chapter

Identify and graph each polar equation. Verify your graph using a graphing utility.
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