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The distance of the point having positio...

The distance of the point having position vector `-hat(i) + 2hat(j) + 6hat(k)` from the straight line passing through the point `(2, 3, –4)` and parallel to the vector, `6hat(i) + 3hat(j) -4hat(k)` is:

A

6

B

`4sqrt3`

C

`2sqrt13`

D

7

Text Solution

Verified by Experts

The correct Answer is:
D
Eqn. of line : `(x-2)/(6) = (y-3)/(3) = (z + 4)/(-4)= lamda`
DR’s of `AB (6 lamda + 3, 3 lamda + 1, -4 lamda - 10)`
Given line `bot AB`
`:. lamda = -1`
`:. B(-4, 0,0)`
`A (-1, 2, 6)`
`AB = 7`
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