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 . Find vec(PQ) and the direction cosines of vec(PQ) .

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

If vec(A)=2hati+hatj+hatk " and " vecB=10hati+5hatj+5hatk , if the magnitude of component of (vec(B)-vec(A)) along vec(A) is 4sqrt(x) . Then x will be .

Given vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk are the position vectors of the points A and B Then the distance of the point hati+hatj+hatk from the plane passing through B and perpendicular to AB is (a) 5 (b) 10 (c) 15 (d) 20

If vecF = 3hati + 4hatj+5hatk and vecS=6hati +2hatj+5hatk , the find the work done.