Multiplication is like repeated addition. Multiplying 4
adding four three times:
. The multiplication of
a vector times a scalar works in the same way. Multiplying the vector A
the positive scalar c
to adding together c
copies of the
. Thus 3A = A + A + A
Multiplying a vector by a scalar will get you a vector with the
same direction, but different magnitude, as the original.
The result of multiplying A
a vector in the same direction as A
with a magnitude of
. If c
negative, then the direction of A
reversed by scalar multiplication.