A) \[cot\text{ }A\]
B) \[cot\,C\]
C) \[-tanC\]
D) \[tan\,C\]
E) \[tan\text{ }A\]
Correct Answer: E
Solution :
Now \[\frac{|(\overrightarrow{a}-\overrightarrow{c})\times (\overrightarrow{b}-\overrightarrow{a})|}{(\overrightarrow{c}-\overrightarrow{a}).(\overrightarrow{b}.\overrightarrow{a})}\] \[=\frac{|\overrightarrow{AC}\times \overrightarrow{BA}|}{\overrightarrow{AC}.\overrightarrow{BA}}=\frac{||\overrightarrow{AC}||\overrightarrow{BC}|\sin A\hat{n}|}{|\overrightarrow{AC}||\overrightarrow{BC}|\cos A}\] \[=\tan A\]You need to login to perform this action.
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