- Relative to a fixed origin \(O\),
- point \(P\) has position vector \(9 \mathbf { i } - 8 \mathbf { j }\)
- point \(Q\) has position vector \(3 \mathbf { i } - 5 \mathbf { j }\)
- Find \(\overrightarrow { P Q }\)
Given that \(R\) is the point such that \(\overrightarrow { Q R } = 9 \mathbf { i } + 18 \mathbf { j }\)
show that angle \(P Q R = 90 ^ { \circ }\)
Given also that \(S\) is the point such that \(\overrightarrow { P S } = 3 \overrightarrow { Q R }\)find the exact area of \(P Q R S\)