Mathematics for IGCSE & O level - Vectors (Section 1 - No. 18)
Given that a = \(\begin{pmatrix} 1 \\ 1 \end{pmatrix}\) and b = \(\begin{pmatrix} 1 \\ -1 \end{pmatrix}\), what is the result of 3a + b?
\(\begin{pmatrix} 4 \\ 2 \end{pmatrix}\)
\(\begin{pmatrix} 4 \\ 4 \end{pmatrix}\)
\(\begin{pmatrix} 3 \\ -3 \end{pmatrix}\)
\(\begin{pmatrix} 2 \\ 4 \end{pmatrix}\)
Paaiškinimas
3a + b = 3\(\begin{pmatrix} 1 \\ 1 \end{pmatrix}\) + \(\begin{pmatrix} 1 \\ -1 \end{pmatrix}\) = \(\begin{pmatrix} 3 \\ 3 \end{pmatrix}\) + \(\begin{pmatrix} 1 \\ -1 \end{pmatrix}\) = \(\begin{pmatrix} 4 \\ 2 \end{pmatrix}\)