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Find the cosine of the angle between the planes x + y + z = 0 and x + 2y + 4z = 5.?

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Find the cosine of the angle between the planes x + y + z = 0 and x + 2y + 4z = 5.?

angle-between-planes

asked Feb 7, 2015 in CALCULUS by anonymous

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1 Answer

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Step 1:

The planes are and .

The normal vectors of these planes are and .

If is the angle between the planes, then .

Consider .

Solution :

The cosine of the angle between the planes is .

answered Feb 9, 2015 by joseph Apprentice

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