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Chapter 10: Q 26 (page 789)

Find the distance between the points (4, 5, 8,-2) and (-1, 3,-3, 6)

Short Answer

Expert verified

The required distance is $\sqrt{214}$

Step by step solution

Given information

The given points are (4, 5, 8,-2) and (-1, 3,-3, 6).

Finding the distance

The distance between the points as per formula is:

$\sqrt{{(- 1 - 4)}^{2} + {(3 - 5)}^{2} + {(- 3 - 8)}^{2} + {(6 - (- 2))}^{2}}$

Simplifying:

$\sqrt{25 + 4 + 121 + 64}$

Simplify further:

$\sqrt{214}$

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Find the distance between the points (4, 5, 8,-2) and (-1, 3,-3, 6)

Short Answer

Step by step solution

Given information

Finding the distance

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Most popular questions from this chapter

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