Find parametric equation: Intersection curve of two surfaces x+2y−z=2 and 2x−y+3z=1.? (If you set x=t, how are related x and y with t?)?

2015-09-01 6:08 pm
Also find "opposite orientation" parametric form.(-C)...
更新1:

Hint: If you set x=t, how are related x and y with t?

回答 (1)

2015-09-02 12:41 pm
✔ 最佳答案
Let x = t , then we have
2y - z = 2 - t ..... (1)
-y + 3z = 1 - 2t ..... (2)

(1) + 2*(2) , we obtain
5z = 4 - 5t
z = 4/5 - t , substitute into (2)
y = 3( 4/5 - t ) - ( 1 - 2t ) = 7/5 - t

Ans: x = t , y = 7/5 - t , z = 4/5 - t


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