My Math Forum Can't solve these 3 problems

 Linear Algebra Linear Algebra Math Forum

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.
Attached Images
 linear.PNG (58.8 KB, 395 views)

 February 14th, 2013, 01:22 PM #2 Global Moderator   Joined: May 2007 Posts: 6,821 Thanks: 722 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.
 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 $\vec{a}$ is a unit vector in the direction of $\vec{v}$. Since $\vec{v}$ lies in the plane, so does $\vec{a}$. $\vec{b}$ is a unit vector that is a linear combination of two vectors, $\vec{w}$ and $\vec{c}$, in the plane and so is in the plane. $\vec{b}$ is perpendicular to $\vec{a}$ and so the two vectors are independent and span the space $\vec{x}- \vec{p}$.

 Tags problems, solve

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post verynice2000 Algebra 3 February 19th, 2012 08:43 AM Rany Tandoom Algebra 6 October 24th, 2008 12:27 PM amero Calculus 3 August 14th, 2008 10:54 AM Rooonaldinho Math Events 10 October 28th, 2007 08:17 AM vloraboy Abstract Algebra 0 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top