Can someone help with the following problem:
Find an equation for the plane that passes through the point
P(1,2,-2) and contains the line of intersection of the planes
3x - y - z = 1 and x + y - z = 2. Show your work.
Can someone help with the following problem:
Find an equation for the plane that passes through the point
P(1,2,-2) and contains the line of intersection of the planes
3x - y - z = 1 and x + y - z = 2. Show your work.
First find the intersection line of the two given planes: adding both equations you get , and substituting this in equation 2 you get , so the line, in parametric form, is .
Now choose two different vectors in this line, say , and , and then the plane you're looking for is .
And this question belongs in pre-algebra-analytic geometry, not in calculus.
Tonio