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# Advanced Math/Lines and planes in space

Question
Hi, I have been completed my whole assignment except this question. It is getting me confused.

The plane that passes through the point (4,4,2) and is perpendicular to both

3y-2x-4z = -3 and 4y-2x+z = -19

has __________ as its implicit equation.

Questioner:   John
Private:   No
Subject:   Last problem on my assignment for tomorrow
Question:   Hi, I have been completed my whole assignment except this question.

It is getting me confused.

The plane that passes through the point (4,4,2) and is perpendicular to both

3y-2x-4z = -3 and 4y-2x+z = -19

has __________ as its implicit equation.

This term 'implicit equation' is unfamiliar to me.

........................................
1.A. Write the normal vector V1 for plane P1 : 3y-2x-4z = -3.
1.B. Write the normal vector V2 for plane P2 : 4y-2x+z = -19
2. The normal vector to your plane will be perpendicular to both of those vectors.
3. Find a vector V that is normal to both V1 and V2.
4. Combine that with your point and get the equation.

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#### Paul Klarreich

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I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), basic probability, and finite mathematics, including mathematical induction. I can also try (but not guarantee) to answer questions on Abstract Algebra -- groups, rings, etc. and Analysis -- sequences, limits, continuity. I won't understand specialized engineering or business jargon.

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