If `vec(OA)=3hati+hatj-2hatk` and `vec(OB)=5hati+4hatj+hatk` then find the value of `vec(AB)`

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 vec(A) = 3 hati +2hatj and vec(B) = hati - 2hatj +3hatk , find the magnitudes of vec(A) +vec(B) and vec(A) - vec(B) .

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

vec(a)=2hati-2hatj+hatk,vec(b)=hati+2hatj-2hatk and vec( c )=2hati-hatj+4hatk then find the projection of vec(b)+vec( c ) on vec(a) .

If vec(a) = hati - 2hatj - 3hatk, vec(b) = 2hati +hatj - hatk and vec(c) = hati +3hatj - 2hatk then find vec(a) xx (vec(b) xx vec(c)) .

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 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(a)=hati+hatj+2hatk and vec(b)=3hati+2hatj-hatk then find vec(a)+3vec(b).(2vec(a)-vec(b)) .