The sum and difference of two vectors ve...

The sum and difference of two vectors `vec(A)` and `vec(B)` are `vec(A) +vec(B) = 2hati +6 hatj + hatk` and `vec(A) - vec(B) = 4 hati +2 hatj - 11 hatk`. Find the magnitude of each vector and their scalar product `vec(A) vec(B)`.

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The sum and difference of two vectors vec A and vec B are , vec A+vec B=2hat i+6hat j+hat k and vec A-vec B=4hat i+2hat j-11hat k . Find the magnitude of each vector and their scalar product vec A.vec B .

If vec(A) = 3 hati +2hatj and vec(B) = hati - 2hatj +3hatk , find the magnitudes of vec(A) +vec(B) and vec(A) - vec(B) .

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

Prove that the vectors vec(A) = 2hati - 3hatj - hatk and vec(B) =- 6 hati + 9hatj +3hatk are parallel.

If vec(A) = hati + 3hatj + 2hatk and vec(B) = 3hati + hatj + 2hatk , then find the vector product vec(A) xx vec(B) .

If vec(A) and vec(B) are two such vectors that |vec(A)| = 2, |vec(B)| = 7 and vec(A) xx vec(B) = 3 hati +2 hatj + 6 hatk , find the angle between vec(A) and vec(B) .

If vec(A) = 2hati +3 hatj +hatk and vec(B) = 3hati + 2hatj + 4hatk , then find the value of (vec(A) +vec(B)) xx (vec(A) - vec(B))

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

What is the projection of vec(A) = hati + hatj+ hatk on vec(B) = (hati + hatk)

Find the angle between the vertors vec(A) = hati + 2hatj - hatk and vec(B) = - hati +hatj - 2hatk .

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