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(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) .

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

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) .

Let veca=hati+2hatj +hatk, vec=hati-hatj+hatk and vecc=hati+hatj-hatk . A vector in the plane of veca and vecb whose projection on vecc is 1/sqrt(3) is (A) 4hati-hatj+4hatk (B) hati+hatj-3hatk (C) 2hati+hatj-2hatk (D) 4hati+hatj-4hatk

If A, B, C and D are the points with position vectors hati-hatj+hatk,2hati-hatj+3hatk,2hati-3hatkand3hati-2hatj+hatk respectively, then find the projection of vec(AB)andvec(CD) .

If vec(A) = 3hati +4hatj and vec(B) = 7 hat I +24 hatj , find a vector having the same magnitude as vec(B) and parallel to vec(A) .

If vec a = hati + 2 hatj + 2 hat k and vec b = 3 hati + 6 hatj + 2 hat k then the vector in the direction of vec a and having mgnitude as |vec b| is

If vec a =hati +3hatj , vecb = 2hati -hatj - hatk and vec c =mhati +7 hatj +3hatk are coplanar then find the value of m.