The angle between the line \(\frac{x-1}{2}=\frac{y+2}{1}=\frac{z}{2}\) and the plane \(2x-y+2z=5\) is
A. \(\cos^{-1}\left(\frac79\right)\)
B. \(\cos^{-1}\left(\frac29\right)\)
C. \(\sin^{-1}\left(\frac79\right)\)
D. \(\sin^{-1}\left(\frac29\right)\)
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Answer: C. \(\sin^{-1}\left(\frac79\right)\)
\(\sin\theta=\frac{|\vec b\cdot\vec n|}{|\vec b||\vec n|}=\frac{|4-1+4|}{3\cdot3}=\frac79\).
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· 23 Oct 2026
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