Multiplication of a Vector by a scalar | question and answer !

If we multiply a vector A by a scalar k, The product is a vector whose magnitude is the absolute value of k times the magnitude of A. Thia means that the magnitude of the resultant vector is k|A|. The direction of the new vector remains unchanged if k is positive.

Multiplication of a Vector by a scalar | question and answer !

If k is negative, the direction of the new vector is opposite to its original direction. For example, vector 3A is thrice the magnitude of vector A, and it is in the same direction as A. But vector -3A is in a direction opposite to vector A, although its magnitude is thrice that of vector A.