Find the value of such that the planes , , and have a line in common.
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Originally Posted by alexmahone Find the value of such that the planes , , and have a line in common. Let and denote the three planes. 1. Calculate 2. Calculate 3. Compare the coefficients: 4. Thus the third plane has the equation: 5. I've attached a sketch of the three planes.
Originally Posted by earboth Thus the third plane has the equation: Thanks for your solution, but shouldn't ?
Originally Posted by alexmahone Thanks for your solution, but shouldn't ? Yes. Earboth made a simple and obvious typo.
Originally Posted by mr fantastic Yes. Earboth made a simple and obvious typo. Thanks! Originally Posted by alexmahone Thanks for your solution, but shouldn't ? Of course, you are right. The drawing is correct. The negative sign somehow slipped away on the way from my notes to the MHF editor. Sorry.
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