Vectors - Intersection of Two Lines
Vectors - Intersection of Two Lines
Solutions to this question by accurate drawing will not be accepted.
The diagram shows a parallelogram \(ABCD\) in which \(C\) is \(\left( 4,16 \right)\) and \(D\) is \(\left( -2,6 \right)\).
The line \(AD\) when produced meets the \(y\)-axis at point \(T\). \(AT\) is parallel to \(y-11x=4\) and \(AC\) is perpendicular to \(x+3y=0\).
- Show that the coordinates of \(T\) is \(\left( 0,28 \right)\).
- Find the equation of \(AC\).
- Show that the coordinates of \(A\) is \(\left( -3,-5 \right)\).
- Find the coordinates of \(B\).
- Find the area of parallelogram \(ABCD\).
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Answer:(a) \(T=(0,28)\) (b) \(y=3x+4\) (c) \(A=(-3,-5)\) (d) \(B=(3,5)\) (e) \(56\text{ units}^2\)
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