1.3 Vectors (continued)

Properties of Vector Operations

Geometric Interpretation of Vector Operations

$\vu+2\vv+3\vw$

$2\vw-3\vu$

$-4(\vv-\vw)$

$-2(3\vu)$

Give the components of the vector that fills in the blank: $(2\vw-3\vu) - \underline{\hspace{2.5cm}} = \vzero$

Explain why the following expression does not make sense:

On the axes in , sketch the vectors $\vu + \vv$, $\vv - \vu$, $2\vu$, $-2\vu$, and $-3\vv$.

What are the components of $0\vv$?

On the axes in , sketch the vectors $-3\vv$, $-2\vv$, $-1\vv$, $2\vv$, and $3\vv$.

Give a geometric description of the set of terminal points of the vectors $t\vv$ where $t$ is any scalar.

On the set of axes in , sketch the vectors $\vu-3\vv$, $\vu-2\vv$, $\vu-\vv$, $\vu + \vv$, and $\vu + 2\vv$.

Give a geometric description of the set of terminal points of the vectors $\vu + t\vv$ where $t$ is any scalar.