Find the distance of a point `(2,5,-3)` form plane `bar(r ).(6bar(i) - 3bar(j) + 2bar(k)) = 4`.

Find the distance between the planes bar(r) * ( 2 bar(i) - bar(j) + 3 bar(k)) = 4 and bar(r) * ( 6 bar(i) - 3 bar(j) + 9 bar(k)) + 13 = 0

Find the shortest distance between the skew lines . bar(r)=(6bar(i)+2bar(j)+2bar(k))+t(bar(i)-2bar(j)+2bar(k))andbar(r)=(-4bar(i)-bar(k))+s(3bar(i)-2bar(j)-2bar(k))

Find anle between planes bar(r ).(2bar(i)-bar(j) + 2 bar(k)) = 3, bar(r ).(3bar(i)+6bar(j) + bar(k)) = 4

Find a unit vector perpendicular to the plane containing the vector bar(a) = 4bar(i) + 3bar(j) - bar(k), bar(b) = 2bar(i) - 6bar(j) - 3bar(k)