A) \[45{}^\circ \]
B) \[0{}^\circ \]
C) \[{{\cos }^{-1}}\left( \frac{24}{\sqrt{29}\sqrt{22}} \right)\]
D) \[90{}^\circ \]
Correct Answer: B
Solution :
Angle between the plane and line is \[\sin \theta =\frac{a{a}'+b{b}'+c{c}'}{\sqrt{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}\sqrt{{{{{a}'}}^{2}}+{{{{b}'}}^{2}}+{{{{c}'}}^{2}}}}\] Here, \[a{a}'+b{b}'+c{c}'=2\times 3+3\times 2-4\times 3=0\] \[\therefore \,\,\sin \theta =0\] Þ \[\theta ={{0}^{o}}.\]
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