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February 14th, 2013, 10:51 AM  #1 
Newbie Joined: Feb 2013 Posts: 1 Thanks: 0  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.

February 14th, 2013, 01:22 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,762 Thanks: 697  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 + (1u)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. 
February 15th, 2013, 10:59 AM  #3 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  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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