If `vec a = hati + 2 hatj + hatk, vec b = 2 hat j+hatk-hati`, Then component of `vec a` perpendicular to `vec b` is

If two vectors are given as veca = hati - hatj + 2hatk and vecb = hati + 2hatj+hatk , the unit vector perpendicular to both vec a and vec b is

If two vectors are given as veca = hati - hatj + 2hatk and vecb = hati + 2hatj+hatk , the unit vector perpendicular to both vec a and vec b is

If vec A=hati +7hatj +hatk and vec B =2 hati+3hatj +4hatk then the component of vec A along vec B is

If vec a=2hati+3hatj-hatk , then |vec a| is :

Let veca = hati - 2 hatj + 2hatk and vec b = 2 hati - hatj + hatk be two vectors. If vec c is a vector such that vecb xx vec c = vec b xx vec a and vec c vec a = 1 , then vec c vec b is equal to :

Let veca = hati - 2 hatj + 2hatk and vec b = 2 hati - hatj + hatk be two vectors. If vec c is a vector such that vecb xx vec c = vec b xx vec a and vec c vec a = 1 , then vec c vec b is equal to :

If vec alpha = 2 hati + 3 hatj - hatk, vec beta =- hati + 2 hatj - 4 hatk, vec lamda = hati + hatj + hatk, then (vec alpha xx vecbeta). (vec alpha xx vec gamma) is :

If vec(a)=hati+2hatj-3hatk and vec(b)=3hati-hatj+2hatk then show that (vec(a)+vec(b)) is a perpendicular to the vector vec(a)-vec(b) .