Normal Vectors

Practice Questions

Calculus 3 › Normal Vectors

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Determine whether the two vectors, $\overrightarrow{a}=\begin{bmatrix} 3\7 \ 5\end{bmatrix}$ and $\overrightarrow{b}=\begin{bmatrix} 3\3 \-6 \end{bmatrix}$ , are orthogonal or not.

Determine whether the two vectors, $\overrightarrow{a}=\begin{bmatrix}2 \0 \5 \end{bmatrix}$ and $\overrightarrow{b}=\begin{bmatrix}10 \7 \-2 \end{bmatrix}$ , are orthogonal or not.

Determine whether the two vectors, $\overrightarrow{a}=\begin{bmatrix} 9\-5 \4 \end{bmatrix}$ and $\overrightarrow{b}=\begin{bmatrix} 2\ 2\ -2\end{bmatrix}$ , are orthogonal or not.

Determine whether the two vectors, $\overrightarrow{a}=\begin{bmatrix} 5\ 3\end{bmatrix}$ and $\overrightarrow{b}=\begin{bmatrix} -6\-11 \end{bmatrix}$ , are orthogonal or not.

Find the Unit Normal Vector to the given plane.

Determine whether the two vectors, $\overrightarrow{a}=\begin{bmatrix} -3\4 \6 \end{bmatrix}$ and $\overrightarrow{b}=\begin{bmatrix}2 \3 \-1 \end{bmatrix}$ , are orthogonal or not.

Determine whether the two vectors, $\overrightarrow{a}=\begin{bmatrix} 4\ 1\end{bmatrix}$ and $\overrightarrow{b}=\begin{bmatrix} -3\12 \end{bmatrix}$ , are orthogonal or not.

Determine whether the two vectors, $\overrightarrow{a}=\begin{bmatrix} 8\ -7\ 3\end{bmatrix}$ and $\overrightarrow{b}=\begin{bmatrix} 4\1 \2 \end{bmatrix}$ , are orthogonal or not.

Determine whether the two vectors, $\overrightarrow{a}=\begin{bmatrix} 7\11 \13 \end{bmatrix}$ and $\overrightarrow{b}=\begin{bmatrix} 3\4 \ -5\end{bmatrix}$ , are orthogonal or not.

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