Mathematics for IGCSE & O level - Vectors (Section 1 - No. 39)
If \(p = \begin{pmatrix} 2 \\ 1 \end{pmatrix}\) and \(q = \begin{pmatrix} 3 \\ 2 \end{pmatrix}\), find the magnitude of p - q.
\(\sqrt{2}\)
\(\sqrt{5}\)
\(2\)
\(5\)
Explicació
p - q = \(\begin{pmatrix} 2 \\ 1 \end{pmatrix}\) - \(\begin{pmatrix} 3 \\ 2 \end{pmatrix}\) = \(\begin{pmatrix} -1 \\ -1 \end{pmatrix}\). Magnitude = \(\sqrt{(-1)^2 + (-1)^2} = \sqrt{2}\)