Chapters

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

In the same direction of if k is positive.

In the opposite direction of if k is negative.

Of magintude

## Example

### Properties of Scalar Multiplication

Associative.

**k · (k' · ) = (k · k') · **

Right distributivity.

**k · ( + ) = k · + k · **

Left distributivity.

**(k + k') · = k · + k' · **

Multiplicative Identity.

**1 · = **

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