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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
| LIST I | LIST II | ||
|---|---|---|---|
| A. | $|\vec A+\vec B|=|\vec A-\vec B|$ | I. | $45^\circ$ |
| B. | $|\vec A\times\vec B|=\vec A\cdot\vec B$ | II. | $30^\circ$ |
| C. | $|\vec A\cdot\vec B|=\dfrac{AB}{2}$ | III. | $90^\circ$ |
| D. | $|\vec A\times\vec B|=\dfrac{AB}{2}$ | IV. | $60^\circ$ |
Solution
A:
$|\vec A+\vec B|=|\vec A-\vec B| \Rightarrow \vec A\cdot\vec B=0$
$\Rightarrow$ angle $=90^\circ$ → III
B:
$|\vec A\times\vec B|=\vec A\cdot\vec B$
$AB\sin\theta=AB\cos\theta \Rightarrow \theta=45^\circ$ → I
C:
$|\vec A\cdot\vec B|=AB\cos\theta=\dfrac{AB}{2}$
$\Rightarrow \cos\theta=\dfrac12 \Rightarrow \theta=60^\circ$ → IV
D:
$|\vec A\times\vec B|=AB\sin\theta=\dfrac{AB}{2}$
$\Rightarrow \sin\theta=\dfrac12 \Rightarrow \theta=30^\circ$ → II
Correct Matching:
A-III, B-I, C-IV, D-II
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