Mathematics for IGCSE & O level - Vectors (Section 1 - No. 29)
Given \(\vec{a} = \begin{pmatrix} 2 \\ 1 \end{pmatrix}\) and \(\vec{b} = \begin{pmatrix} 1 \\ -2 \end{pmatrix}\), which of the following represents the magnitude of \( \vec{a} + \vec{b} \)?
0
1
\(\sqrt{10}\)
\(5\)
Explanation
a+b = (3, -1). Magnitude = sqrt(3^2 +(-1)^2) = sqrt(10) = \(\sqrt{10}\)
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