A) \[\frac{3}{10}\]
B) \[\frac{10}{3}\]
C) \[\frac{10}{9}\]
D) \[\frac{10}{3\sqrt{3}}\]
Correct Answer: D
Solution :
Required distance \[=\left. \left| \frac{d-\mathbf{a}.\mathbf{n}}{|\mathbf{n}|} \right. \right|=\left. \left| \frac{5-(2\mathbf{i}-2\mathbf{j}+3\mathbf{k}).(\mathbf{i}+5\mathbf{j}+\mathbf{k})}{\sqrt{1+25+1}} \right. \right|\] \[\left. =\left| \frac{5-(2-10+3)}{\sqrt{27}} \right. \right|\]\[=\frac{10}{3\sqrt{3}}\].You need to login to perform this action.
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