The points (2, -1, -2), (1, 3, 12), and (4,

letumsnemesislh 2022-07-02 Answered
The points (2, -1, -2), (1, 3, 12), and (4, 2, 3) lie on a unique plane. Where does this plane cross the z-axis?
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Answers (1)

lydalaszq
Answered 2022-07-03 Author has 11 answers
Step 1
By Gaussian elimination,
{ 2 a b 2 c = d , a + 3 b + 12 c = d , 4 a + 2 b + 3 c = d
{ 7 2 b + 13 c = d 2 , 4 b + 7 c = d
55 2 c = 11 2 d
and the requested point satisfies
a 0 + b 0 + c z = d .
So z = 5.

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