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SPM Additional Mathematics (KSSM)

Question
Bahasa Melayu
Koordinat bagi titik $A$ dan $B$ masing-masing ialah $(-2, 1)$ dan $(k, 2k + 1)$, maka $\vec{AB} = (k + 2)i + 2k\,j$.

Vektor unit dalam arah yang sama dengan $\vec{AB}$ ialah $\frac{1}{10}\vec{AB}$. Cari nilai $k$, dengan keadaan $k > 0$.

English
The coordinates of the points $A$ and $B$ are $(-2, 1)$ and $(k, 2k + 1)$ respectively, so that $\vec{AB} = (k + 2)i + 2k\,j$.

The unit vector in the same direction as $\vec{AB}$ is $\frac{1}{10}\vec{AB}$. Find the value of $k$, where $k > 0$.
[3 marks]
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Modelled on SBP trial · Kertas 1 · Q5(c)

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Modelled on SBP trial · Kertas 1 · Q5(c)

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Chapter 1
Coordinate Geometry
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