If the position vectors of two given points A and B be `8veci + 3vecj + 2veck` and `2veci - 5vecj +3veck` respectively, find the magnitude and direction of `vec(AB)`

The position vector of two points A and B are 3veci+vecj+2veck and veci-2vecj-4veck respectively. Find the equation of the plane through B and perpendicular to AB.

For given vectors, veca = 2veci - vecj + 2veck, vecb = -veci + vecj - veck find the unit vector in the direction of the vector veca+vecb

Find the projection of the vector veca = 2veci + 3vecj + 2veck on the vector vecb = veci + 2vecj + veck

Position vectors of two points A and C re 9veci-vecj+7veci-2vecj+7veck respectively THE point intersection of vectors vec(AB)=4veci-vecj+3veck and vec(CD)=2veci-vecj+2veck is P. If vector vec(PQ) is perpendicular to vec(AB) and vec(CD) and PQ=15 units find the position vector of Q.

Position vectors of two points A and C re 9veci-vecj+7veci-2vecj+7veck respectively THE point intersection of vectors vec(AB)=4veci-vecj+3veck and vec(CD)=2veci-vecj+2veck is P. If vector vec(PQ) is perpendicular to vec(AB) and vec(CD) and PQ=15 units find the position vector of Q.

Find the angle between veca=3veci+3vecj-3veck and vecb=2veci+vecj+3veck .

Find |veca xx vecb| if veca = 2veci + vecj + 3veck and vecb = 3veci + 5vecj - 2veck

Find a unit vector perpendicular to both veci+vecj+veck and 2veci+vecj+3veck .

Find the angle between the vectors 3veci-4vecj+veck and veci-3vecj+4veck .

If the position vectors of three points A, B and Care respectively veci+vecj+3veck , 4veci+vecj+5veck and 7(veci+veck) . Find vec(AB)xxvec(AC) .. Interpret the result geometrically.