Find the unit vector of `(vec(A)+vec(B))` where `vec(A)=2hati-hatj+3hatk` and `vec(B)=3hati-2hatj-2hatk`.

Find |vec(a)xx vec(b)| , if vec(a)=hati-7hatj+7hatk and vec(b)=3hati-2hatj+2hatk .

Find a unit perpendicular to each of the vector vec(a)+vec(b) and vec(a)-vec(b) , where vec(a)=3hati+2hatj+2hatk and vec(b)=hati+2hatj-2hatk .

Find a unit vector perpendicualr to each of the vectors (vec(a)+vec(b)) and (vec(a)-vec(b)) , where vec(a)=hati+hatj+hatk,vec(b)=hati+2hatj+3hatk .

Find the angle between the vectors vec(A) = 2 hati - 4hatj +6 hatk and vec(B) = 3 hati + hatj +2hatk .

Two vector vec(A) and vec(B) are vec(A)=5hati+3hatj-4hatk and vec(B)=5hati+2hatj+4hatk . Find the unit vectors along vec(A)+vec(B) and vec(A)-vec(B) .

Vectors vec(A) and vec(B) can be expressed as vec(A)=10hati-12hatj+5hatk and vec(B)=7hati+8hatj-12hatk where hati,hatj,hatk are unit vectors along x,y,z axes respectively. Find the resultant of two vectors and its magnitude.

Find a unit vector perpendicular the vectors vec(A) = 4 hati = hatj +3 hatk and vec(B) =- 2hati + hatj - 2hatk .