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Numerade Educator

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Problem 5 Easy Difficulty

What does the equation $ x = 4 $ represent in $ \mathbb{R}^2 $? What does it represent in $ \mathbb{R}^3 $? Illustrate with sketches.

Answer

A line parallel to the $y$ -axis and 4 units to the right of it; a vertical plane parallel to the $y$ -plane and 4 units in front of it.

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Video Transcript

here. Let us two figures. So first we are too since our police airplane. So at this fort is just lying or two we can see here. This is for zero. And it is just This is just the graph ofthe ethics Courtyard, too. And because there are three other is like, Ah, three dimension of space and we fix one coordinates, they are to control them freely. So it's gonna be like playing and plain on the point four zero zero lies in the plane. And playing has a no matter its way C in the normal actor is going to be parent out to X success. And the plane, the whole place is gonna be parallel to the y. Oh, ze pain. So that is what we want.