Mathematics for IGCSE & O level - Vectors (Section 2 - No. 19)
If \(\vec{a} = \begin{bmatrix} 2 \\ 3 \end{bmatrix}\) and \(\vec{b} = \begin{bmatrix} 1 \\ -1 \end{bmatrix}\), then what is \( 2\vec{a} - \vec{b} \) equal to?
\(\begin{bmatrix} 3 \\ 7 \end{bmatrix}\)
\(\begin{bmatrix} 3 \\ 5 \end{bmatrix}\)
\(\begin{bmatrix} 5 \\ 7 \end{bmatrix}\)
\(\begin{bmatrix} 5 \\ 5 \end{bmatrix}\)
Explanation
2* \[\begin{bmatrix} 2 \\ 3 \end{bmatrix}\] - \[\begin{bmatrix} 1 \\ -1 \end{bmatrix}\] = \[\begin{bmatrix} 3 \\ 7 \end{bmatrix}\]
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