## Related questions with answers

Question

In given problem, find the equation of the plane having the given normal vector $\mathbf{n}$ and passing through the given point P.

$\mathbf{n}=2 \mathbf{i}-4 \mathbf{j}+3 \mathbf{k} ; P(1,2,-3)$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2$\begin{align*} 2(x-1)-4(y-2)+3(z+3) &= 0 \\ 2x-2-4y+8+3z+9 &= 0\\ 2x-4y+3z&=-15 \end{align*}$

Use the standard form for the general equation of a plane as a model and simplify.

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