Column I | Column II |
(a) \[|\vec{A}\times \vec{B}|=0\] | (i) \[\theta ={{30}^{o}}\] |
(b) \[|\vec{A}\times \vec{B}|=8\] | (ii) \[\theta ={{45}^{o}}\] |
(c) \[|\vec{A}\times \vec{B}|=4\] | (iii) \[\theta ={{90}^{o}}\] |
(d) \[|\vec{A}\times \vec{B}|=4\sqrt{2}\] | (iv) \[\theta ={{0}^{o}}\] |
Answer:
(a) \[|\vec{A}\times
\,\vec{B}|\,=AB\,\,\sin \,\theta =\,0\] if \[\sin \,\theta =0\] or \[\theta
=\,{{0}^{o}}\]
\[\therefore \,(a)\,\to
\,(iv)\]
(b) \[|\vec{A}\,\times
\,\vec{B}|\,\,=AB\,\sin \,\theta =\,8\] if \[\sin \theta =1\] or \[\theta
={{90}^{o}}\]
\[\therefore \,(b)\,\to
\,\,(iii)\]
(c) \[|\vec{A}\times
\vec{B}|\,=\,AB\,\,\sin \theta =\,8\,\,\sin \theta =\,4\,\] if \[\sin \,\theta
=\,\frac{1}{2}\] or \[\theta =\,{{30}^{o}}\]
\[\therefore
\,(c)\,\,\to \,(i)\]
(d) \[|\vec{A}\times
\,\vec{B}|\,=8\,\,\sin \,\,\theta =4\sqrt{2}\] if \[\sin \,\theta
\,=\,\frac{1}{\sqrt{2}}\] or \[\theta =\,{{45}^{o}}\]
\[\therefore \,(d)\,\to
\,(ii)\]
You need to login to perform this action.
You will be redirected in
3 sec