The distance of the point P(1,2,3) from the line which passes through the point (4,2,2) and parallel to the vector `2hati+3hatj+6hatk` isA. `sqrt10`B. `sqrt7`C. `sqrt5`D. 1

The distance of the point P(1,2,3) from the line which passes through

1.	The distance of the point P(1,2,3) from the line which passes through the point (4,2,2) and parallel to the vector `2hati+3hatj+6hatk` isA. `sqrt10`B. `sqrt7`C. `sqrt5`D. 1
Answer» Correct Answer - A The equation of the of line which passess through the point `A (4,2,2)` and parallel to the vector `2hati + 3hatj + 6hatk` is `(x-4)/(2) = (y -2)/(3) = (x-2)/(6)` Distance of point `P(1,2,3)` form the line `sqrt((1-4)^(2) +(2-2)^(2) (3-2)^(2) - {2(1-4)+3(2-2) +6(3-2)^(2)})` ` = sqrt(9+0+1-(-6 + 0 + 6)^(2)) = sqrt(10)`

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The distance of the point P(1,2,3) from the line which passes through the point (4,2,2) and parallel to the vector `2hati+3hatj+6hatk` isA. `sqrt10`B. `sqrt7`C. `sqrt5`D. 1

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