Mathematics for IGCSE & O level - Vectors (Section 1 - No. 28)
Given a = \(\begin{pmatrix} 1 \\ 2 \end{pmatrix}\), b = \(\begin{pmatrix} 3 \\ 2 \end{pmatrix}\), and c = \(\begin{pmatrix} -1 \\ 1 \end{pmatrix}\), what is the value of a - b + c?
\(\begin{pmatrix} -3 \\ 1 \end{pmatrix}\)
\(\begin{pmatrix} -1 \\ 1 \end{pmatrix}\)
\(\begin{pmatrix} -3 \\ -1 \end{pmatrix}\)
\(\begin{pmatrix} 3 \\ -1 \end{pmatrix}\)
ব্যাখ্যা
a - b + c = \(\begin{pmatrix} 1 \\ 2 \end{pmatrix}\) - \(\begin{pmatrix} 3 \\ 2 \end{pmatrix}\) + \(\begin{pmatrix} -1 \\ 1 \end{pmatrix}\) = \(\begin{pmatrix} -2 \\ 0 \end{pmatrix}\) + \(\begin{pmatrix} -1 \\ 1 \end{pmatrix}\) = \(\begin{pmatrix} -3 \\ 1 \end{pmatrix}\)