?In the following exercises, vectors u and v are given. Find unit vector w in the

Chapter 2, Problem 197

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In the following exercises, vectors u and v are given. Find unit vector w in the direction of the cross product vector u × v. Express your answer using standard unit vectors.

Calculate the determinant

\(\left|\begin{array}{rrr}

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

1 & -1 & 7 \\

2 & 0 & 3

\end{array}\right|\)

Text Transcription

left| begin array rrr

mathbf i  & mathbfj & mathbf k

1 & -1 & 7

2 & 0 & 3

end array right|

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