Tuesday

October 21, 2014

October 21, 2014

Posted by **Shaila** on Monday, September 6, 2010 at 1:11pm.

x+4y-3z-12=0

x+6y-2z-22=0

a) Determine if the planes are parallel

b) Fine the line of intersection of the two

- Math - intersection of planes -
**MathMate**, Monday, September 6, 2010 at 1:26pma. If the planes are parallel, one equation would be a linear combination of the other, which is not the case.

b. as in the previous problem,

http://www.jiskha.com/display.cgi?id=1283324887

reduce the equations to the reduced echelon form, namely

1 0 -5 = -8

0 2 1 = 10

Set z=t (free variable) and solve for x, y and z to get

x=5t-8

y=-(1/2)t+5

z=t

**Answer this Question**

**Related Questions**

Math - intersection of planes - You are given the following two planes: x+4y-3z-...

Math - Intersection of planes - Find the vector equation of the line of ...

Calculus - Consider the planes given by the equations 2y−2x−z=2 x&#...

Linear Algebra 2 - This is another question I can't figure out. Given planes ...

Math - Determine whether the following statements are always,sometime, or never ...

Calculus - Use normal vectors to determine the intersection, if any, for each of...

Calc. - Determine the interaction of the line of intersection of the planes x + ...

Math - Intersection of planes - You are given the following two planes: x+4y-3z-...

Math - Intersection of planes - You are given the following two planes: x+4y-3z-...

Calc. - Use normal vectors to determine the intersection, if any, for each of ...