A) \[a\times b+b\times c+c\times a\]
B) \[\frac{a\times b+b\times c+c\times a}{|a\times b+b\times c+c\times a|}\]
C) \[\frac{a\times b}{|a\times b|}\]
D) None of these
Correct Answer: B
Solution :
Unit vector perpendicular to plane \[=\frac{\overrightarrow{AB}\times \overrightarrow{AC}}{|\overrightarrow{AB}\times \overrightarrow{AC}|}\]\[=\frac{(b-a)\times (c-a)\,}{\left| \,(b-a)\times (c-a)\, \right|}\] \[=\frac{a\times b+b\times c+c\times a}{\left| \,a\times b+b\times c+c\times a\, \right|}.\]You need to login to perform this action.
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