A) \[\overset{\to }{\mathop{c}}\,\times \overset{\to }{\mathop{a}}\,\]
B) \[\overset{\to }{\mathop{c}}\,\times \overset{\to }{\mathop{b}}\,\]
C) \[-\frac{\left( \overset{\to }{\mathop{a}}\,\times \overset{\to }{\mathop{b}}\, \right)}{\left| \overset{\to }{\mathop{a}}\,\times \overset{\to }{\mathop{b}}\, \right|}\]
D) \[\frac{\left( \overset{\to }{\mathop{a}}\,\times \overset{\to }{\mathop{b}}\, \right)}{\left| \overset{\to }{\mathop{a}}\,\times \overset{\to }{\mathop{b}}\, \right|}\]
Correct Answer: D
Solution :
[d] Let \[\overset{\to }{\mathop{c}}\,\] is the unit vector perpendicular to both the vectors \[\overset{\to }{\mathop{a}}\,\] and \[\overset{\to }{\mathop{b}}\,\]. So, A unit vector which is perpendicular to both the vectors \[\overset{\to }{\mathop{a}}\,\] and \[\overset{\to }{\mathop{b}}\,\] is \[\frac{\left( \overset{\to }{\mathop{a}}\,\times \overset{\to }{\mathop{b}}\, \right)}{\left| \overset{\to }{\mathop{a}}\,\times \overset{\to }{\mathop{b}}\, \right|}\]You need to login to perform this action.
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