A) 31i ? 18j ? 9k
B) \[\frac{31i-38j-9 k}{\sqrt{2486}}\]
C) \[\frac{31i+18j+9k}{\sqrt{2486}}\]
D) None of these
Correct Answer: B
Solution :
Unit vector perpendicular to plane of \[\Delta ABC\] is, \[\frac{\overrightarrow{AB}\times \overrightarrow{AC}}{|\overrightarrow{AB}\times \overrightarrow{AC}|}\], where \[\overrightarrow{AB}=i+2j-5k\] and \[\overrightarrow{AC}=6i+3j+8k\] \ \[\overrightarrow{AB}\times \overrightarrow{AC}=31i-38j-9k\]and \[|\overrightarrow{AB}\times \overrightarrow{AC}|\,=\sqrt{2486}\] \ Required vector = \[\frac{31i-38j-9k}{\sqrt{2486}}\].You need to login to perform this action.
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