Question

If the vector below is multiplied by 2, what will be its end point?

Answer 1

The end point would be (4,-1).

Explanation:

When you multiply a vector with a scalar, it is known as a scalar multiplication. This multiplication is as simple as multiplying each component of the vector by the scalar because scalar is just another way to call a real number. The result of this multiplication is always a vector.

Multiplying a positive scalar larger than one will increase the magnitude of the vector, but not it's direction. A positive scalar smaller than one will decrease the magnitude. And negative scalar will reverse the direction and increase or decrease the magnitude depending on whether scalar is more than one or less than one.