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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 9: Q. 18 (page 621)

find the distance between the two points
$P_{1} = (- 2, 2, 3) P_{2} = (4, 0, - 3)$

Short Answer

Expert verified

$d = 2 \sqrt{19}$

Step by step solution

Step 1. The given information is

$P_{1} = (- 2, 2, 3) P_{2} = (4, 0, - 3)$

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

$d (P_{1}, P_{2}) = \sqrt{{(4 - (- 2))}^{2} + {(0 - 2)}^{2} + {(- 3 - 3)}^{2}} d (P_{1}, P_{2}) = \sqrt{6^{2} + 2^{2} + {(- 6)}^{2}} d (P_{1}, P_{2}) = \sqrt{36 + 4 + 36} d (P_{1}, P_{2}) = \sqrt{76} d (P_{1}, P_{2}) = 2 \sqrt{19}$

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find the distance between the two pointsP1=(-2,2,3)P2=(4,0,-3)

Short Answer

Step by step solution

Step 1. The given information is

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

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find the distance between the two points
$P_{1} = (- 2, 2, 3) P_{2} = (4, 0, - 3)$