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Calculate the dot product of vectors A = [6, 5, 2] and B = [1, 9, 4].

April 20, 2026Mathematics

ScanSolve AI Answer

Answer

59

3 steps

Identify the given vectors.
The two vectors are $\mathbf{A} = \begin{bmatrix} 6 \\ 5 \\ 2 \end{bmatrix}$ and $\mathbf{B} = \begin{bmatrix} 1 \\ 9 \\ 4 \end{bmatrix}$ .
Calculate the dot product.
The dot product of two vectors is found by multiplying corresponding components and summing the results.
$\mathbf{A} \cdot \mathbf{B} = (6)(1) + (5)(9) + (2)(4)$
Perform the multiplication and addition.
$\mathbf{A} \cdot \mathbf{B} = 6 + 45 + 8$ $\mathbf{A} \cdot \mathbf{B} = 51 + 8$ $\mathbf{A} \cdot \mathbf{B} = 59$
The dot product is 59.

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