Vectors can be multiplied.

**a** + **a** + **a** = 3**a**

The multiplier of the vector is called a **scalar**. A scalar can take any numeric value, including negative amd fractional values.

In the example above, **c** = 3**b**. Similarly, **a** = `frac(1)(2)`**d**.

State the resultant vector `vec(AB)` in terms of **a** and **b**.

Four instances of **a** along; and three instances of **b** up.

Answer: `4bb(a) + 3bb(b)`

State the resultant vector `vec(CD)` in terms of **e** and **f .**

To get from C, move `1frac(1)(2)` worth of **e** in the opposite direction; and 1 worth of **f** in the opposite direction.

Answer: -1.5**e** - **f**

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