Find parametric equations for the line of intersection of the two planes. P1: 2x − y + z = 1 P2 : x − y + z = 2 <2,-1,1> X <1,-1,1> = <0,-1,1> x = -1 y=t z=3+t I don't know how the book gets this answer.
Follow Math Help Forum on Facebook and Google+
Originally Posted by khuezy Find parametric equations for the line of intersection of the two planes. P1: 2x − y + z = 1 P2 : x − y + z = 2 <2,-1,1> X <1,-1,1> = <0,-1,1> x = -1 y=t z=3+t I don't know how the book gets this answer. Solve simultaneously: 2x − y + z = 1 .... (1) x − y + z = 2 .... (2) (1) - (2): x = -1. Substitute into x = -1 into either (1) or (2): − y + z = 3. Now let y = t, say, where $\displaystyle t \in R$ and solve for z.
View Tag Cloud