Mathematics for IGCSE & O level - Vectors (Section 1 - No. 16)
Given two vectors \[\vec{p} = \begin{bmatrix} 1 \\ 4 \end{bmatrix}\] and \[\vec{q} = \begin{bmatrix} 2 \\ -1 \end{bmatrix}\] what is the magnitude of \( \vec{p} + \vec{q} \)?
3
\(\sqrt{26}\)
5
\(\sqrt{29}\)
Explanation
First add \(\vec{p} + \vec{q}\): \[\begin{bmatrix} 3 \\ 3 \end{bmatrix}\] then use the pythagorean to find the length of the vector.
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