MCQ
જો સદીશ $\vec a$ અને $\vec b$ સમરેખ હોય તો સદીશ $\vec \alpha =(\lambda -2) \vec a + \vec b$ અને $\vec \beta = (4\lambda -2)\vec a + 3\vec b$ એ $\lambda $ ની કઈ કિમંત માટે સમરેખ થાય .
- ✓$-4$
- B$-3$
- C$4$
- D$3$
$\vec{\beta}=(4 \lambda-2) \overrightarrow{\mathrm{a}}+3 \overrightarrow{\mathrm{b}}$
$\bar{\alpha}$ and $\bar{\beta}$ are collinear
$\left|\begin{array}{cc}{\lambda-2} & {1} \\ {4 \lambda-2} & {3}\end{array}\right|=0$
$3 \lambda-6-4 \lambda+2=0$
$-\lambda-4=0$
$\lambda=-4$
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