SOLUTION: 2. (a) Let 3x − 2y + 4z = 11 and 2x − 5y + 3z = 3 be two planes. Then P = (7, 1, −2) are on both planes. Let ℓ be the line of intersection of these two planes. Find a p

Algebra ->  College  -> Linear Algebra -> SOLUTION: 2. (a) Let 3x − 2y + 4z = 11 and 2x − 5y + 3z = 3 be two planes. Then P = (7, 1, −2) are on both planes. Let ℓ be the line of intersection of these two planes. Find a p      Log On


   



Question 1203800: 2.
(a) Let 3x − 2y + 4z = 11 and 2x − 5y + 3z = 3 be two planes. Then P = (7, 1, −2)
are on both planes. Let ℓ be the line of intersection of these two planes. Find a
parametric equation for ℓ.
(b) With the same two planes as in (a), we know that Q = (21, 0, −13) is on both
planes. Find another parametric equation for ℓ. Find a relation between the two
parametrizations in (a) and (b).

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

Part (a) was solved at this forum couple of days ago.

See the solution under this link

https://www.algebra.com/algebra/college/linear/Linear_Algebra.faq.question.1203816.html

https://www.algebra.com/algebra/college/linear/Linear_Algebra.faq.question.1203816.html


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