Question
Bahasa Melayu
Diberi bahawa $\vec{a} = (2, 5)$, $\vec{b} = (6, 8)$ dan $\vec{c} = (m, m - 6)$, dengan keadaan $m$ ialah pemalar. Dua vektor ditakrifkan sebagai $\vec{u} = \vec{b} - \vec{a}$ dan $\vec{v} = \vec{c} - \vec{b}$. Diberi juga bahawa $\vec{u}$ selari dengan $\vec{v}$.
Cari $|\vec{u}| : |\vec{v}|$, dan berikan jawapan anda dalam bentuk $p : q$, dengan keadaan $p$ dan $q$ ialah integer dalam sebutan termudah.
Cari $|\vec{u}| : |\vec{v}|$, dan berikan jawapan anda dalam bentuk $p : q$, dengan keadaan $p$ dan $q$ ialah integer dalam sebutan termudah.
English
It is given that $\vec{a} = (2, 5)$, $\vec{b} = (6, 8)$ and $\vec{c} = (m, m - 6)$, where $m$ is a constant. Two vectors are defined by $\vec{u} = \vec{b} - \vec{a}$ and $\vec{v} = \vec{c} - \vec{b}$. It is also given that $\vec{u}$ is parallel to $\vec{v}$.
Find $|\vec{u}| : |\vec{v}|$, giving your answer in the form $p : q$, where $p$ and $q$ are integers in their simplest form.
Find $|\vec{u}| : |\vec{v}|$, giving your answer in the form $p : q$, where $p$ and $q$ are integers in their simplest form.
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Modelled on Selangor trial · Kertas 1 · Q7(b)
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Modelled on Selangor trial · Kertas 1 · Q7(b)
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