Mathematics for IGCSE & O level - Vectors (Section 1 - No. 32)
Given \(\vec{a} = \begin{pmatrix} 2 \\ 4 \end{pmatrix}\) and \(\vec{b} = \begin{pmatrix} 1 \\ -1 \end{pmatrix}\), what is |\(\vec{a} - \vec{b}\)|?
3
5
\(\sqrt{10}\)
\(\sqrt{29}\)
Explicació
a - b = \(\begin{pmatrix} 2 \\ 4 \end{pmatrix}\) - \(\begin{pmatrix} 1 \\ -1 \end{pmatrix}\) = \(\begin{pmatrix} 1 \\ 5 \end{pmatrix}\), |a-b| = \(\sqrt{1^2+5^2}\) = \(\sqrt{26}\)