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Q.6 Which of the following vectors is perpendicular to vector \( (\hat{\imath} Q \sin \theta-\hat{\jmath} \operatorname{Pcos} \theta) \)(a) \( \hat{\imath} P \cos \theta+\hat{\jmath} Q \sin \theta \)4b) \( \hat{\imath} \operatorname{Qcos} \theta-\hat{\jmath} P \sin \theta \)(c) \( \hat{\imath} P \sin \theta+\hat{\jmath} Q \cos \theta \)(d) \( \hat{\imath} Q \sin \theta-\hat{\jmath} P \cos \theta \) |
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Answer» Given vector \(\vec A\) = (\(\hat i\) θ sin θ - \(\hat j\) P cos θ) option (a) (\(\hat i\) P cos θ + \(\hat j\) θ sin θ) Let \(\vec B\) = (\(\hat i\) P cos θ + \(\hat j\) θ sin θ) Perpendicular condition \(\vec A.\vec B=0\) = (\(\hat i\) θ sin θ - \(\hat j\) P cos θ) . (\(\hat i\) P cos θ + \(\hat j\) θ sin θ) = P θ sin θ cos θ - P θ sin θ cos θ \(\vec A.\vec B=0\) option (a) is correct. |
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