How do i solve
1. The points P, Q and R are such that 5QR→ = 3PR→. Given that the position vectors of P and Q relative to an origin O are (-2 4) [in matrix form] and (-6 18) [in matrix form] respectively, find vector OR→.
Thanks!
following are in vector form with arrows omitted.
5QR= 3PR
5(QO+OR) = 3(PO+OR)
-5OQ+5OR = -3OP+3OR
2OR = 5OQ-3OP
2OR= 5(-6 18) - 3( -2 4)
2OR = (-24 78)
OR = (-12 39)
Concept correct but workings unchecked ok? Check yourself.