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 value of lambda so that the vectors vec(A) = 2hati + lambda hatj +hatk and vec(B) = 4hati - 2hatj - 2hatk are perpendicular to each other.

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.

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

What is the value of a, if two vectors vec P =hati+12 hatj+hatk and vec Q =2hati-ahatj+4hatk are perpendicular to each other ?

For what value of x , will the two vector A= 2hati + 2hatj -x hatk and B =2 hati - hatj - 3hatk are perpendicular to each other ?

For what value of x , will the two vector A= 2hati + 2hatj -x hatk and B =2 hati - hatj - 3hatk are perpendicular to each other ?

If vector vecP=a hati + a hatj +3hatk and vecQ=a hati -2 hatj -hatk are perpendicular to each other , then the positive value of a is