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Recursos > vectors and parametric equations

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Parametric Equations

"Sometimes when graphing a shape or equation we want to add a parameter, something like time, which requires us to use parametric equations. One example of the use of parametric equations is to descri ...

Parameterize a Circle

"One application of parametric equations that is useful to learn is how to parameterize a circle. In order to parameterize a circle centered at the origin, oriented counter-clockwise, all we need to k ...

Parameterize

Hipervinculo Matemáticas

Parameterize

"There are some situations that are useful to learn to parameterize. We commonly parameterize line segments, and require knowledge of the starting and ending positions. In order to understand how to p ...

Parallel Lines in Space

"With the introduction of the 3D coordinate system we find the concepts of skew, perpendicular and parallel lines in space. Skew lines are new, and are lines that are not parallel, yet never intersect ...

Navigation Problems

"The word problems encountered most often with vectors are navigation problems. These navigation problems use variables like speed and direction to form vectors for computation. Some navigation proble ...

Multiplication of Vectors

"The addition and scalar multiplication of vectors are basic operations that can be done using their geometric or the algebraic representations. When looking at the geometric representation we can und ...

Motion Along a Line

"We can use the vector equation of a line to describe the motion along a line. We can also rewrite these equations to represent the motion along a line as a parametric equation. In order to create a v ...

Math Planes

Hipervinculo Matemáticas

Math Planes

"When introduced to the 3D coordinate system we are introduced to the concept of math planes, and vector equations for planes. Math planes are used frequently with vectors, when calculating normal vec ...

Lines in 3D

Hipervinculo Matemáticas

Lines in 3D

"In the 3D coordinate system, lines can be described using vector equations or parametric equations. Lines in 3D have equations similar to lines in 2D, and can be found given two points on the line. I ...

Algebraic Representation

"In order to do more complex calculations with vectors, we need to understand their algebraic representation. While the geometric representation of vectors makes it easier for us to understand them, t ...

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