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Math Drills
Inner products & orthogonality
Orthogonal and orthonormal bases
Practice 1
Inner products & orthogonality
Orthogonal and orthonormal bases
1 / 5
Standard
Find the dot product of the two vectors.
(
2
−
1
3
)
⋅
(
4
2
−
1
)
\begin{pmatrix} 2 \\ -1 \\ 3 \end{pmatrix} \cdot \begin{pmatrix} 4 \\ 2 \\ -1 \end{pmatrix}
2
−
1
3
⋅
4
2
−
1
1
−
3
-3
−
3
2
3
3
3
3
7
7
7
4
−
7
-7
−
7
Answer