The length of the perpendicular drawn fr...

The length of the perpendicular drawn from the point (2, 1, 4) to the plane containing the lines `r=(hati+hatj)+lambda(hati+2hatj-hatk)" and "r=(hati+hatj)+mu(-hati+hatj-2hatk)` is

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The correct Answer is:

3

Normal to plane `(hati+2hatj-hatk)xx(-hati+hatj-2hatk)=-3i+3hatj+3hatk`
Equation of plane is `-x+y+z=0`
`P=(-2+1+4)/(sqrt(3))=sqrt(3)`

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