Problem

Let vector \( \mathbf{v} = \begin{bmatrix} 2 \ \ 3 \ \ 4 \end{bmatrix} \). What is the result of scalar multiplication of vector \( \mathbf{v} \) by scalar \( 5 \)?

Answer

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Answer

Finally, we simplify the multiplication: \( \begin{bmatrix} 10 \ \ 15 \ \ 20 \end{bmatrix} \)

Steps

Step 1 ：Firstly, we multiply each component of the vector \( \mathbf{v} \) by the scalar \( 5 \): \( 5 \times \begin{bmatrix} 2 \ \ 3 \ \ 4 \end{bmatrix} \)

Step 2 ：Then we get: \( \begin{bmatrix} 5 \times 2 \ \ 5 \times 3 \ \ 5 \times 4 \end{bmatrix} \)

Step 3 ：Finally, we simplify the multiplication: \( \begin{bmatrix} 10 \ \ 15 \ \ 20 \end{bmatrix} \)

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