Multiplication by a Scalar - Distributive Law

When you multiply a vector by a scalar, you get another vector. This vector is in the same direction, but its length is equal to the length of the original vector, multiplied by the scalar.

bA = b(A_xi + A_yj + A_zk) = bA_xi + bA_yj + bA_zk

There exists a distributive law for multiplication by a scalar:

b(A+C) = bA+bC