Can Vectors Be Multiplied?

To multiply a vector by a scalar, simply multiply the similar components, that is, the vector's magnitude by the scalar's magnitude. This will result in a new vector with the same direction but the product of the two magnitudes.

What happens when you multiply a vector by a vector?

Multiplying a Vector by a Vector (Dot Product and Cross Product) ... The scalar or Dot Product (the result is a scalar). The vector or Cross Product (the result is a vector).

Can vectors be multiplied by scalars?

When a vector is multiplied by a scalar, the size of the vector is “scaled” up or down. Multiplying a vector by a positive scalar will only change its magnitude, not its direction. When a vector is multiplied by a negative scalar, the direction will be reversed.