Moderate -0.8 This is a straightforward application of the standard dot product formula for finding angles between vectors (cos θ = a·b/|a||b|). It requires only direct substitution into a memorized formula with basic arithmetic and calculator work, making it easier than average even for Further Maths students.
Find, to the nearest degree, the angle between the vectors \(\begin{pmatrix} 1 \\ 0 \\ -2 \end{pmatrix}\) and \(\begin{pmatrix} -2 \\ 3 \\ -3 \end{pmatrix}\). [3]
Find, to the nearest degree, the angle between the vectors $\begin{pmatrix} 1 \\ 0 \\ -2 \end{pmatrix}$ and $\begin{pmatrix} -2 \\ 3 \\ -3 \end{pmatrix}$. [3]
\hfill \mbox{\textit{OCR MEI Further Pure Core AS 2018 Q2 [3]}}