Determine whether the set of vectors is orthogonal.
-$$\left[ \begin{array} { l }
- 4 \
- 8 \
- 4
\end{array} \right] , \left[ \begin{array} { r }
4 \
0 \
- 4
\end{array} \right] , \left[ \begin{array} { r }
- 4 \
4 \
- 4
\end{array} \right]$$
A) $\mathrm { No }$
B) Yes

Question

Determine whether the set of vectors is orthogonal.
-$$\left[ \begin{array} { l } 
- 4 \
- 8 \
- 4
\end{array} \right] , \left[ \begin{array} { r } 
4 \
0 \
- 4
\end{array} \right] , \left[ \begin{array} { r } 
- 4 \
4 \
- 4
\end{array} \right]$$
A) $\mathrm { No }$
B) Yes

Quizplus · Accepted Answer

The dot product of the first two vectors is 0, so they are orthogonal. The dot product of the second and third vectors is also 0, so they are orthogonal. The dot product of the first and third vectors is not 0, so they are not orthogonal. Therefore, the set of vectors is not orthogonal.

Determine Whether the Set of Vectors Is Orthogonal A) No\mathrm { No }No

Determine Whether the Set of Vectors Is Orthogonal A) $\mathrm { No }$