In direction proportion- a1b1- a2b2

In direct proportion, a_1b_1=a_2b_2 Where, a_1a_2=k ( constant ) ...

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In direction ...

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In direction proportion, $\frac{a_{1}}{b_{1}} . . . . \frac{a_{2}}{b_{2}}$

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Question 38

In direct proportion, $\frac{a_{1}}{b_{1}}$ ___ $\frac{a_{2}}{b_{2}}$ .

\vec{r} = \vec{a_{1}} + λ \vec{b_{1}} a n d \vec{r} = 2 \vec{a_{2}} + λ \vec{b_{2}}

\frac{[\vec{a_{1}} \vec{b_{1}} \vec{b_{2}}]}{[\vec{a_{2}} \vec{b_{1}} \vec{b_{2}}]}

Two lines whose direction ratios are a₁, b₁, c₁ and a₂, b₂, c₂ are perpendicular, if

\begin{matrix} A & B A_{1} & B_{1} A_{2} & B_{2} \end{matrix}

(a_{1}, b_{1})

(a_{2}, b_{2})

(a_{1} + a_{2}, b_{1} + b_{2})

a_{1} b_{2} = a_{2} b_{1}

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