Three points $O$, $P$ and $Q$ are such that $\vec{OP}=3\mathbf{p}$ and \(\vec{OQ}=6\mathbf{q

Question

Three points $O$, $P$ and $Q$ are such that $\vec{OP}=3\mathbf{p}$ and $\vec{OQ}=6\mathbf{q}$. Express $\vec{PQ}$. Another point $R$ is such that $\vec{QR}=2\mathbf{q}-\mathbf{p}$, find $\vec{OR}$ in terms of $\mathbf{p}$ and $\mathbf{q}$.

Accepted Answer

(a) PQ = 6q - 3p. (b) OR = 8q - p.

Introduction to Origin-Based Position Vectors

Introduction to Origin-Based Position Vectors

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