The distance of the point (-1,-5,-10) from the point of intersection of the line vec r=(2 hat i- hat j+2 hat k)+lambd

### Question Asked by a Student from EXXAMM.com Team

Q 1327023881.     The distance of the point (-1,-5,-10) from the point of intersection of the line vec r=(2 hat i- hat j+2 hat k)+lambda(3hat i+4 hat j+12 hat k) and the plane vec r.(hat i-hat j+hat k)=5 is ?
A

frac{-6}{sqrt 3}

B

frac{6}{sqrt 3}

C

sqrt {149}

D

13

#### HINT

Given eqn. of the line is written as frac{x-2}{3}=frac{y+1}{4}=frac{z-2}{12}=lambda Any point  P on this line can be expressed in terms of lambda as P(3 lambda+2,4 lambda-1,12 lambda+2)`

(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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