Prove that the vectors `vec(A) = 4 hati +3hatj +hatk` and `vec(B) = 12 hati + 9 hatj +3 hatk` are parallel to each other.

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

Prove that vecA = 4hati + 3hatj + hatk and vecB = 12hati + 9hatj + 3hatk are parallel to each other.

Show that the vector vecA = -6hati + 9hatj - 12 hatk and vec = 2 hati - 3hatj + 4hatk are parallel to each other.

Prove that the vectors vec(A) = hati +2 hatj +3hatk and vec(B) = 2hati - hatj are perpendicular to each other.

For what value of a are the vectors vec(A) = a hati - 2hatj +hatk and vec(B) = 2a hati +a hat j - 4hatk perpendicular to each other ?

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

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

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

Show that vector bar A = 2hati - 3hatj + 4 hatk and bar B = 6hati -9hatj + 12hatk are parallel.