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February 14th, 2013, 10:51 AM   #1
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Can't solve these 3 problems

Hey guys I almost finished my assignment but I'm having a lot of trouble with these 3 numbers.
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February 14th, 2013, 01:22 PM   #2
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Re: Can't solve these 3 problems

3) Line parallel to y axis means x and z are unchanged. You will have to formalize.

4) I'll leave to others.

5a) A plane consists of all points S such that S.n + d = 0. Therefore P.n +d = 0 and Q.n + d = 0.
Points on the line can be written S = uP + (1-u)Q, where u is any real number. Plug S into the plane equation and show it holds.
5b) Show that R can be written as the combination of P and Q as shown. Compute the u value as described for one coordinate of R and verify the same u value for the other two coordinates.
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February 15th, 2013, 10:59 AM   #3
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Re: Can't solve these 3 problems

For 4, You have that is a unit vector in the direction of . Since lies in the plane, so does . is a unit vector that is a linear combination of two vectors, and , in the plane and so is in the plane. is perpendicular to and so the two vectors are independent and span the space .
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