Plane equation

2008-04-19 4:45 am
Find the equation of the plane containing the point P(1,2,3) and normal to the line x=-2t, y=t+1, Z=1.

Any one can help me to solve this question??

回答 (3)

2008-04-19 5:39 pm
✔ 最佳答案
Let Q (x, y, z) be a point in the plane.
The line PQ is also in the plane. Hence PQ is normal to the line L: x=-2t, y=t+1, Z=1
Let A be a point on the line L at t = 0,
A = (0, 1, 1)
Let B be a point on the line L at t = 1,
B = (-2, 2, 1)
Therefore,
PQ‧AB = 0
(x-1, y-2, z-3)‧(0-(-2), 1-2, 1-1) = 0
(2)(x-1) + (-1)(y-2) + (0)(z-3) = 0
2x - 2 - y + 2 = 0
2x + y = 0
the equation of the plane : 2x + y = 0



2008-04-19 9:08 am
Sorry but this is the whole of the question.
2008-04-19 5:15 am
Please state your question carefully


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