The length of the perpendicular drawn from the point (2,1,4) to the plane containing the lines r→=(i^+j^)+λ(i^+2j^-k^) and r→=(i^+j^)+μ(-i^+j^-2k^) is
3
3
13
13
Solution:
Correct option is A. 3 Perpendicular vector to the plane n→=|ijk12-1-11-2|=−3i^+3j^+3k Eq. of plane -3(x-1)+3(y-1)+3z=0 => x-y-z=0 d(2,1,4)=|2-1-4|/√1²+1²+1²=3.