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Chapter 10: Q 14 (page 848)

Fill in the blanks:
The distance from a point P to a line $ℒ$ parametrized by $r (t) = P_{0} + t d$ is ________ .

Short Answer

Expert verified

The required expression is $\frac{||d \times \underset{P_{0} P}{\to}||}{||d||}$

Step by step solution

Given information

Given a point P and Line parameterized by $r (t) = P_{0} + t d$

Filling in the blanks

The required distance is given by the expression:

$\frac{||d \times \underset{P_{0} P}{\to}||}{||d||}$

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Most popular questions from this chapter

Use the Intermediate Value Theorem to prove that every cubic function $f (x) = A x^{3} + B x^{2} + C x + D$ has at least one real root. You will have to first argue that you can find real numbers a and b so that f(a) is negative and f(b) is positive.

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Fill in the blanks:The distance from a point P to a line ℒ parametrized byr(t)=P0+tdis ________ .

Short Answer

Step by step solution

Given information

Filling in the blanks

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Fill in the blanks:
The distance from a point P to a line $ℒ$ parametrized by $r (t) = P_{0} + t d$ is ________ .