The length of perpendicular drawn from P(1, 2, 3) to the line x - 6 3 = y - 7 2 = z - 7 - 2 is

Question

The length of perpendicular drawn from P(1, 2, 3) to the line $\frac{x - 6}{3} = \frac{y - 7}{2} = \frac{z - 7}{- 2}$ is

Smart Achievers · Accepted Answer

(3)

$Let N be (3 λ + 6, 2 λ + 7, 2 λ + 7) such that P N is perpendicular to the line$

$Then λ = - 1$

$∴$ $N = (3, 5, 9)$

$∴$ $P N = 7$

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