Find an equation of the plane passing through the point

sfair24bz

sfair24bz

Answered question

2021-11-13

Find an equation of the plane passing through the point perpendicular to the given vector or line. Point: (3, 2, 2) Perpendicular to: n = 2i + 3j - k

Answer & Explanation

Edward Belanger

Edward Belanger

Beginner2021-11-14Added 11 answers

The plane's orthogonal vector must first be converted to standard notation.
2i+3jk=<2,3,1>
Enter the point we were given and the vector from the previous step into the formula for a plane in space.
2(x3)+3(y2)1(z2)=0
Make the equation from the previous step simpler. This is the plane's equation that is required by the question.
2x+3yz=10
Answer: 2x+3yz=10

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