Mathematics for IGCSE & O level - Vectors (Section 1 - No. 35)
If \(\vec{a} = \begin{pmatrix} 2 \\ -1 \end{pmatrix}\) and \(\vec{b} = \begin{pmatrix} 1 \\ 3 \end{pmatrix}\), what is 2\(\vec{a}\) - \(\vec{b}\) ?
\(\begin{pmatrix} 3 \\ -5 \end{pmatrix}\)
\(\begin{pmatrix} 3 \\ 1 \end{pmatrix}\)
\(\begin{pmatrix} 3 \\ -5 \end{pmatrix}\)
\(\begin{pmatrix} 3 \\ -6 \end{pmatrix}\)
ব্যাখ্যা
2\(\vec{a}\) - \(\vec{b}\) = 2 * \(\begin{pmatrix} 2 \\ -1 \end{pmatrix}\) - \(\begin{pmatrix} 1 \\ 3 \end{pmatrix}\) = \(\begin{pmatrix} 4 \\ -2 \end{pmatrix}\) - \(\begin{pmatrix} 1 \\ 3 \end{pmatrix}\) = \(\begin{pmatrix} 3 \\ -5 \end{pmatrix}\)