`vecP=hati+hatjhatk 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 vectors 2hati - 3hatj-5hatk and 2hati-3 hatj-ahatk are equal vectors, then the value of a is

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

If vecp = hati + hatj, vecq = 4hatk - hatj " and " vecr =hati + hatk , then the unit vector in the direction of 3vecp+ vecq - 2vecr is

If vectors 2hati-hatj+hatk , hati+2hatj-3hatk and 3hati+mhatj+5hatk are coplaner, then m is a root of the equation

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

The two vectors A=2hati+hatj+3hatk and B=7hati-5hatj-3hatk are -

Find the angle between two vectors vecp and vecq are 4,3 with respectively and when vecp.vecq =5 .

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

Show that the vectors 2hati-hatj_hatk and hatk-3hatj-5hatk are at righat angles.

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