`vecP=hati+hatj+hatk and vecR=hatj-hatk` are given vectors then a vector `vecQ` satisfying the equation `vecPxxvecQ=vecR and vecP.vecQ=3` is (A) `(5/3, 2/3, 1/3)` (B) `(2/3, 5/3, 2/3)` (C) `(5/3,2/3,2/3)` (D) `(2/3,2/3,5/3)`

If vecomega=2hati-3hatj+4hatk and vecr=2hati-3hatj+2hatk then the linear velocity is

If vector vecP=a hati + a hatj +3hatk and vecQ=a hati -2 hatj -hatk are perpendicular to each other , then the positive value of a is

If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj , then the unit vector along its resultant is

The vector vecB= 5hati+2hatj-Shatk is perpendicular to the vector vecA= 3hati+hatj+2hatk if S =

If the vectors vecP=ahati+ahatj+3hatk' and 'vecQ=ahati-2hatj-hatk are perpendicular to each other. Find the value of a ?

Let veca=2hati+3hatj+4hatk, vecb=hati-2hatj+hatk and vecc=hati+hatj-hatk. If vecr xx veca =vecb and vecr.vec c=3, then the value of |vecr| is equal to

The vector vecB=5hati+2hatj-Shatk is perpendicular to the vector vecA=3hati+hatj+2hatk if S=

Consider three vectors vecp=hati+hatj+hatk,vecq=2hati+4hatj-hatk and vecr=hati+hatj+3hatk and let vecs be a unit vector, then vecp,vecq and vecr are

The vector vecP=ahati+ahatj+3hatj and vecQ=ahati-2hatj-hatk , are perpendicular to each other. The positive value of a is

Let veca=2hati=hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hatk be three vectors . A vector in the pland of vecb and vecc whose projection on veca is of magnitude sqrt((2/3)) is (A) 2hati+3hatj+3hatk (B) 2hati+3hatj-3hatk (C) -2hati-hatj+5hatk (D) 2hati+hatj+5hatk