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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.

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Questioner:   John
Country:   Quebec, Canada
Category:   Advanced Math
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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