Vectors can be multiplied.
a + a + a = 3a
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 = 3b. 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: -1.5e - f