To find the angle between a vector and a plane you need to find the angle between their normal vectors.
<2,-4,1> is normal to the line and
<3,-1,-5> is normal to the plane
so this gives..
solving for theta gives...
so the acute angle is
I don't get the answer required. Where am I wrong? Help would be appreciated.
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Q:
A line has equation and a plane has equation . Find the acute angle between the line and the plane.
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My Method:
.
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The Correct Answer:
.