{v1, v2} for the vectors

Chapter 1, Problem 19E

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QUESTION:

Give a geometric description of Span \(\left\{\mathbf{v}_{1}, \mathbf{v}_{2}\right\}\) for the vectors

\(\mathbf{v}_{1}=\left[\begin{array}{r}
8 \\
2 \\
-6
\end{array}\right] \text { and } \mathbf{v}_{2}=\left[\begin{array}{r}
12 \\
3 \\
-9
\end{array}\right]\)

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QUESTION:

Give a geometric description of Span \(\left\{\mathbf{v}_{1}, \mathbf{v}_{2}\right\}\) for the vectors

\(\mathbf{v}_{1}=\left[\begin{array}{r}
8 \\
2 \\
-6
\end{array}\right] \text { and } \mathbf{v}_{2}=\left[\begin{array}{r}
12 \\
3 \\
-9
\end{array}\right]\)

ANSWER:

Step 1 of 3

Given data:

Consider the following vectors:

\({v_1}=\left[{\begin{array}{*{20}{c}}8\\2\\{-6}\end{array}}\right],{v_2}=\left[{\begin{array}{*{20}{c}}{12}\\3\\{ - 9}\end{array}} \right]\)

The objective is to give the geometric description of Span \(\left\{ {{v_1},{v_2}} \right\}\) for the vectors.

Step 2 of 3

Geometric description:

If the vectors are nonzero vectors in \({R^3}\), with \({v_2}\)

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