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The key is to realize that the dot product of the two unit normal vectors gives the cosine of the angle between the planes.
Date Posted:
6 years ago
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Substitute the equation of the line into the equation of the plane to find the lambda value that gives a position vector satisfying both equations
Date Posted:
6 years ago
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From the diagram, we see that the dot product of the unit normal vector and unit directional vector gives the sine of theta.
Date Posted:
6 years ago
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Take the direction OA, AB and BF as the usual x y z directions and then work out the dot product of OF and AG
Date Posted:
6 years ago
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Use the ratio theorem to find OM and ON first. Then find the modulus of MN to get it's length
Date Posted:
6 years ago