If `vec(OA) =2hati+3hatj-4hatk and vec(OB) =hatj+hatk` are two vectors through the origin O, find the projection of `vec(OB) on vec(OA)`.

If vec(OA) =2hati+3hatj-4hatk and vec(OB) =hatj+hatk are two vectors through the origin O, find the projection of vec(OA) and vec(OB)

If vec(OP)=2hati+3hatj-hatk and vec(OQ)=5hati+4hatj-3hatk and vec(PQ) and the direction cosines of vec(PQ) .

If vec(A) = hati + 3hatj + 2hatk and vec(B) = 3hati + hatj + 2hatk , then find the vector product vec(A) xx vec(B) .

Let vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk and vec( c )=hati+hatj-2hatk be three vectors. A vector in the plane of vec(b) and vec( c ) whose projection on vec(a) is of magnitude sqrt(2//3) is

If vec(A) = 2hati +3 hatj +hatk and vec(B) = 3hati + 2hatj + 4hatk , then find the value of (vec(A) +vec(B)) xx (vec(A) - vec(B))

If in parallelogram ABCD, diagonal vectors are vec(AC)=2hati+3hatj+4hatk and vec(BD)=-6hati+7hatj-2hatk , then find the adjacent side vectors vec(AB) and vec(AD) .

If vec(OP)=2hati+3hatj-hatk and vec(OQ)=3hati-4hatj+2hatk find the modulus and direction cosines of vec(PQ) .

A vector vec(X) , when added to the resultant of the vectors vec(A) = 3hati - 5hatj +7hatk and vec(B) = 2hati +4hatj - 3hatk gives a unit vector along Y-axis. Find the vector vec(X) .