Scalar Multiplication

“If we double a 5 inch eastward vector we get a 10 inch eastward vector.”

2(5 in.) = 10 in.

Scalar multiplication can take a math object and double or triple it by doing something like 2*object or 3*object.

Scaling could also halve an object.

Appendix A

Scalar Multiplication can take a vector and changes its length. Scaling cannot change the direction of a vector.

If $\begin{bmatrix} 1 \\ 0 \end{bmatrix}$ is pointing north then $a \begin{bmatrix} 1 \\ 0 \end{bmatrix}$ also points north.