[SPM Add Math 2021 Melaka Paper 2 Vector] How to solve question (b)?

Question

9. Rajah 4 menunjukkan sebuah segitiga OAB. Garis lurus OM bersilang dengan garis lurus AP di Q.
Diagram 4 shows a triangle OAB. The straight line OM intersect the straight line AP at Q.

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Answer

Hi Farhaini,
Your approach is correct, but you made two minor mistakes along the way.
(Forgot to multiply the h with the \underset{\sim}{b} component and miswrote \frac{1}{3} as \frac{1}{2})
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Here is my working if you’re curious, it’s also quite similar to yours :blush:

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And we know that \overrightarrow{OA} = \underset{\sim}{a} which means \frac{1}{2}h - \frac{1}{3}k = 0 so that there is no vector component in the b direction.

Then just like what you did, we compare the results and solve using simultaneous equations.

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Hope this helps! :slight_smile:

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Ohhh I see :rofl: Thank you very much! :blush: :+1: :+1:

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