Segments in this Video

Graphing Curve Projections (02:51)


To draw the projections of a curve onto three coordinate planes, first draw the curve in three dimensions. Then, for each component of the vector equation of the curve, treat it as a parametric equation and graph it on the appropriate coordinate plane.

Identifying the Projections of the Vector Function (03:12)

To identify the projections of the vector function, each component need to be treated as a parametric equation. The equation can be graphed on the XY coordinate plane and solved n terms of x and y.

Graphing Cosine of Arcsine (02:58)

We can use the trigonometry of a right triangle to figure out the equation for an ellipse in standard form. The x value in the formula comes from what is inside the sine function.

Curve Projections (01:50)

To graph a three-dimensional curve, you need to translate the projections of the curve into a three-dimensional coordinate system. Finding the initial value of the parameter at 0 can help you find a starting point for your graph.

Drawing the Projections Along the Planes (05:35)

The projection of a three dimensional curve onto two dimensional planes can be visualized by imagining the curve as a shadow cast by the plane. The projection in each plane is a curve that follows the shape of the plane.

Credits (00:00)


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Projections of the curve

Part of the Series : Integral Calc: Calculus 3
3-Year Streaming Price: $49.95



This video tutorial works through math problems/equations that address topics in Calculus 3, Vectors. This specific tutorial addresses Projections of the curve.

Length: 17 minutes

Item#: BVL275750

Copyright date: ©2013

Closed Captioned

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