(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the unit normal to the plane 3x + 5y - z = 2. What is the distance of the plane from the origin.

2. Relevant equations

3. The attempt at a solution

The normal vector in component form --> (3, 5, -1)

Magnitude of the normal vector --> √35.

Divide the normal vector by its magnitude to get the unit vector-> (3/√35, 5/√35, -1/√35)

Distance between the plane and the origin --> (!EDIT!) 2 units

Did I get this right?

Thanks

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# Finding the Unit Normal to a Plane

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