Scalar Multiplication

The product of a number, k, by a vector Vector is another vector:

In the same direction of Vector if k is positive.

In the opposite direction of Vector if k is negative.

Of magintude Scalar Multiplication


Scalar Multiplication

Vector

Scalar Multiplication


Example

Scalar Multiplication Example

Scalar Multiplication Operations

Scalar Multiplication Solution

Properties of Scalar Multiplication

Associative.

k · (k' · Vector ) = (k · k') ·

Right distributivity.

k · ( Vector + Vector ) = k · Vector + k ·

Left distributivity.

(k + k') · Vector = k · Vector + k' ·

Multiplicative Identity.

1 · Vector =