If `vec(OA)=2hati-hatj+hatk, vec(OB)=hati-3hatj-5hatk and vec(OC)=3hati-3hatj-3hatk` then show that CB is perpendicular to AC.

The vector vec(A)=6hati+9hatj-3hatkand vecB=2hati+3hatj-hatk are

Let vec a=4hati+5hatj-hatk, vecb = hati -4hatj+5hatk and vec c=3hati+hatj-hatk . Find a vector vec dwhich is perpendicular to both vec c and vec b and vec d.vec a=21

If vec a=3hati-hatj+4hatk, vecb=2hati+3hatj-hatk and vec c=-5hati+2hatj+3hatk , then vec a.(vecb xx vec c) is

The three vectors vecA=3hati-=2hatj+khat,vecB=hati-3hatj+5hatk and vec C=2hati+hatj-4hatk form

If vecA=2hati-hatj-3hatk and vecB=hati+2hatj-hatk and vec C=hati+3hatj-2hatk find (vecAxxvecB)xxvecC

Three forces vec F_(1) =5hati+6hatj+7hatk, vec F_(2) =-3hati-2hatj-2hatk and vec F_(3) =-2hati-4hatj-3hatk act on a body. What is the direction of the resultant force acting on the body ?

If vec(a) = hati - 2hatj - 3hatk, vec(b) = 2hati +hatj - hatk and vec(c) = hati +3hatj - 2hatk then find vec(a) xx (vec(b) xx vec(c)) .

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

If vec(a) = hati - 2hatj - 3hatk, vec(b) = 2 hati - hatj - hatk and vec(c) = hati +3 hatj - 2hatk find (vec(a) xx vec(b)) xx vec(c)

If vec r = 3 hati + 2 hatj - 5 hatk , vec a= 2 hati - hatj + hatk, vec b = hati + 3 hatj - 2hatk and vec c=2 hati + hatj - 3 hatk " such that " hat r = x vec a +y vec b + z vec c then