Find the perpendicular distance of `P(-hati+2hatj+6hatk)` from the line joining `A(2hati+3hatj-4hatk) andB(8hati+6hatj-8hatk)`

Find the perpendicular distance from the point (2hati-hatj+4hatk) to the plane vecr.(3hati-4hatj+12hatk) = 1 .

The position vector of the foot of the perpendicular draw from the point 2hati-hatj+5hatk to the line vecr=(11hati-2hatj-8hatk)+lamda(10hati-4hatj-11hatk) is

Find the co-ordinates of the foot of perpendicular and length of perpendicular drawn from point (hati+6hatj+3hatk) to the line vecr = hatj+2hatk+lambda(hati+2hatj+3hatk) .

The ratio in which the plane vecr.( hati-2 hatj+3 hatk)=17 divides the line joining the points -2 hati+4 hatj+7 hatk and 3 hati-5 hatj+8 hatk Is __

Find the mid point of the line segment joining the points P(2hati+3hatj+3hatk) and Q(4hati+hatj-2hatk)

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

Find the vector of length 3 unit which is perpendicular to hati+hatj+hatk and lies in the plane of hati+hatj+hatk and 2hati-3hatj

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

Find a unit vector which is perpendicular to each of the vectors in the following: hati-hatj+hatk and 2hati+3hatj-hatk

Find unit vectors perpendicular to each of the vector in the following: 2hati-hatj-hatk, 2hati-hatj+3hatk