Let $$P(1, –2), Q(–2, 1), R(3, 5)$$ be three points in the cartesian plane.
(a) Calculate the vectors $PQ$ and $PR$.
(b) Draw a diagram indicating the points $P, Q$ and $R$ and the vectors and.
(c) Calculate the angle between the vectors $PQ$ and $PR$.
- Let $P, Q $ be points with co-ordinates $P(2, 3), Q(-2, 4)$.
(a) Determine any value(s) of $k$ for which the vector $V=(K,3)$ is parallel to $PQ$.
(b) State the condition used to determine if two vectors are perpendicular.