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Chapter 9: Q. 15 (page 621)

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

Short Answer

Expert verified

$d = \sqrt{21}$

Step by step solution

01

Step 1. Given information is

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

02

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

Solving we get,

$d (P_{1,} P_{2}) = \sqrt{{(4 - 0)}^{2} + {(1 - 0)}^{2} + {(2 - 0)}^{2}} d (P_{1,} P_{2}) = \sqrt{16 + 1 + 4} d (P_{1,} P_{2}) = \sqrt{21}$

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Most popular questions from this chapter

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

$(6, 150 °)$

In Problems 39–54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.

$(8.1, 5.2)$

To test if the graph of a polar equation may be symmetric with respect to the line $θ = \frac{π}{2},$ replace $θ$ by ______.

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

$(- 2, \frac{3 π}{4})$

Write the expression in the standard form $a + i b$ .

${[3 (\cos 80 ° + i \sin 80 °)]}^{3}$

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