Vector Q1: Basic Results

Timothy Gan

Basic Results

The point $A$, $B$, $C$ have position vectors $\mathbf{a}$, $\mathbf{b}$, $\mathbf{c}$ respectively.

(i)

Given that $2\mathbf{a}-3\mathbf{b}+\mathbf{c}=0$, show that $A$, $B$, $C$ are collinear.

[2]

(ii)

Show that the point $P$ with position vector $\mathbf{p}$ given by $\mathbf{p}=4\mathbf{a}-3\mathbf{b}$ lies on $BA$ produced, and find the ratio $BA:AP$.

[3]

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Published: 13th June 2022

Written by

Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.

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