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**Homework Statement**

B(-6,-7,-3) C(2,7,3) D(-4,-1,-11)

Find the equations of the plane containing the triangle BCD.

**The attempt at a solution**

I've gotten to the end and got an equation, but the normal vector it has is just making me really paranoid.

Vector BC = [2+6, 7+7, 3+3] = [8,14,6]

Vector BD = [-4+6,-1+7,-11+3] = [2,6,-8]

BC x BD = (-112 -36)i - (-64 -12)j + (-64 -28)k

Normal vector = [-148, 76, -92]

Equation:

-148(x+6) +76(y+7) -92(z+3) =0

-148x +76y +92z -632 = 0

The normal vector is what's bothering me. Some later problems require it, and it's making all of them look kinda gross as well, so I just wanted to make sure I didn't make any mistakes.