Binormal Vector: Direction at Point x

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The discussion centers on determining the direction of the binormal vector "B" at a point "x" on a curve that is going straight upward and curving to the left. The participant correctly identifies that the tangent vector at point "x" is directed straight up, leading to the conclusion that the normal vector points to the right. Consequently, the binormal vector is established to point out of the page. This application of the right-hand rule confirms the orientation of the vectors in three-dimensional space.

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Homework Statement


Suppose that you draw a point "x" in the middle of a page, and a curve going through "x" in such a way that the curve is going straight upward at the point "x" and is curving to the left. In what direction does the binormal vector "B" (at "x") point?

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The Attempt at a Solution


Hello, I am having some trouble really visualizing this problem. I know about the right-hand rule, but I am unsure how to apply it here (or whether or not it does even apply here). My thought on the problem was that since if the curve is going straight upward at "x" and curving left, then the binormal vector would point out of the page, no?
 
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This sounds correct. Since the point is going straight up, the tangent vector is straight up, which means the normal vector points to the right and the binormal vector points out of the page.
 

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