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Chapter 9: Q. 16 (page 621)

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

Short Answer

Expert verified

$d = \sqrt{14}$

Step by step solution

01

Step 1. The given information is

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

02

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

$d (P_{1}, P_{2}) = \sqrt{{(1 - 0)}^{2} + {(- 2 - 0)}^{2} + {(3 - 0)}^{2}} d (P_{1}, P_{2}) = \sqrt{1 + 4 + 9} d (P_{1}, P_{2}) = \sqrt{14}$

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