Let `vec(OA)=hati+3hatj-2hatk and vec(OB)=3hati+hatj-2hatk.` Then vector `vec(OC)` biecting the angle `AOB and C` being a point on the line `AB` is

If vec(OA) = hati - 2hatk and vec(OB) = 3 hati - 2hatj then the direction cosines of the vectore vec(AB) are

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

Let vec a = 2hati - hatj + 2hatk and vecb = hati + 2hatj - hatk . Let a vector vecv be in the plane containing veca and vec b. If vec v is perpendicular to the vector 3 hati + 2hatj - hatk and its projection on vec a is 19 units, then abs(2vec v)^2 is equal to _________.

Let vec a = 2hati - hatj + 2hatk and vecb = hati + 2hatj - hatk . Let a vector vecv be in the plane containing veca and vec b. If vec v is perpendicular to the vector 3 hati + 2hatj - hatk and its projection on vec a is 19 units, then abs(2vec v)^2 is equal to _________.

If vec A=hati +7hatj +hatk and vec B =2 hati+3hatj +4hatk then the component of vec A along vec B is

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) .