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Contents Index Calc Dark Mode Prev Up Next \(\newcommand{\R}{\mathbb{R}}
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Activity 9.2.5 .
Suppose that
\(\vu\) and
\(\vv\) are the vectors shown in
Figure 9.2.8 .
(a) Sketch sums(b) Sketch multiples Figure 9.2.8. Left: Sketch sums. Right: Sketch multiples.
(a) On the axes in
Figure 9.2.8.(a) , sketch the vectors
\(\vu + \vv\text{,}\) \(\vv - \vu\text{,}\) \(2\vu\text{,}\) \(-2\vu\text{,}\) and
\(-3\vv\text{.}\)
(b) What are the components of
\(0\vv\text{?}\)
(c) On the in
Figure 9.2.8.(b) , sketch the vectors
\(-3\vv\text{,}\) \(-2\vv\text{,}\) \(-1\vv\text{,}\) \(2\vv\text{,}\) and
\(3\vv\text{.}\)
(d) Give a geometric description of the set of terminal points of the vectors
\(t\vv\) where
\(t\) is any scalar.
(e) On the set of axes in
Figure 9.2.8.(b) , sketch the vectors
\(\vu-3\vv\text{,}\) \(\vu-2\vv\text{,}\) \(\vu-\vv\text{,}\) \(\vu + \vv\text{,}\) and
\(\vu + 2\vv\text{.}\)
(f) Give a geometric description of the set of terminal points of the vectors
\(\vu + t\vv\) where
\(t\) is any scalar.
