Mathematics for IGCSE & O level - Vectors (Section 2 - No. 16)
Given the vectors \( \vec{u} = \begin{bmatrix} 1 \\ 2 \end{bmatrix} \) and \( \vec{v} = \begin{bmatrix} -1 \\ 3 \end{bmatrix} \), which of the following represents \( 3\vec{u} + 2\vec{v} \)?
\(\begin{bmatrix} 1 \\ 12 \end{bmatrix}\)
\(\begin{bmatrix} 1 \\ 0 \end{bmatrix}\)
\(\begin{bmatrix} 1 \\ 10 \end{bmatrix}\)
\(\begin{bmatrix} -1 \\ 12 \end{bmatrix}\)
Förklaring
3\* \[\begin{bmatrix} 1 \\ 2 \end{bmatrix}\] + 2\* \[\begin{bmatrix} -1 \\ 3 \end{bmatrix}\] = \[\begin{bmatrix} 1 \\ 12 \end{bmatrix}\]