Question

If a vector
A is multiplied by a scalar m, what will be the resultant vector?​

Answer 1

Answer:

When multiplying a vector by a scalar, the direction of the vector is unchanged and the magnitude is multiplied by the magnitude of the scalar. This results in a new vector arrow pointing in the same direction as the old one but with a longer or shorter length.

Explanation:

Answer 2

If a vector A is multiplied with a scalar m, the resultant will be a vector mA.

• A vector is a quantity having a magnitude and a direction and obeying the law of vector addition.
• A scalar on the other hand is merely a number that when multiplied with a vector, results in another vector.
• The new vector gets scaled in magnitude while the direction remains the same.
• Hence, multiplying the vector A with the scalar m will result in the vector mA which is m times longer than A and in the same direction as A.