?For the following exercises, the vectors u and v are given. Use determinant notation to

Chapter 2, Problem 201

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For the following exercises, the vectors u and v are given. Use determinant notation to find vector w orthogonal to vectors u and v.

Find vector (a − 2b) × c, where

\(\mathbf{a}=\left|\begin{array}{rrr}

\mathbf{i} & \mathbf{j} & \mathbf{k} \\

2 & -1 & 5 \\

0 & 1 & 8

\end{array}\right|, \quad \mathbf{b}=\left|\begin{array}{rrr}

\mathbf{i} & \mathbf{j} & \mathbf{k} \\

0 & 1 & 1 \\

2 & -1 & -2

\end{array}\right|\) and c = i + j + k.

Text Transcription:

mathbf a= left| begin array rrr

mathbf i & mathbf j  & mathbf k

2 & -1 & 5

0 & 1 & 8

end array right|, quad mathbf b= left| beginarray rrr

mathbf i & mathbf j & mathbf k

0 & 1 & 1

2 & -1 & -2

end array right|

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