- #1

shards5

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## Homework Statement

Find an equation of a plane containing the three points (1, -1, 0), (5, 4, 1), (5, 5, 3) in which the coefficient of x is 9. What does it mean when it says the coefficient of x is 9?

## Homework Equations

a(x-x

_{0}) + b(y-y

_{0}) + c(z-z

_{0}) = 0

## The Attempt at a Solution

Since the equation of the plane needs a normal vector I can get the normal vector using the following steps:

ab = (5, 4, 1) - (1, -1, 0) = (4,5,1)

ac = (5, 5, 3) - (1, -1, 0) = (4,6,3)

Normal Vector = (4,5,1) x (4,6,3) = <9,-8,4>

So I would get 9(x-1) - 8(y+1) +4(z-0) = 0 but where does the coefficient of x is 9 come in?