MCQ
જો $|a| = 3, |b| = 4$ તો $\lambda$ની કઇ કિંમત માટે $\lambda + ab$ એ $\lambda - ab$ ને લંબ થાય ?
- A$9/16$
- ✓$3/4$
- C$3/2$
- D$4/3$
$(a + \lambda b).(a - \lambda b) = 0$
$ \Rightarrow \,\,|a{|^2} - {\lambda ^2}|b{|^2} = 0$
${\lambda ^2} = \frac{{|a{|^2}}}{{|b{|^2}}}$
$ \Rightarrow {\lambda ^2} = \frac{9}{{16}}\,$
$\lambda = \pm \frac{3}{4}\,;\,\,\,[\because \,|a| = 3,|b| = 4]$
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