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Recursos > vectors and parametric equations

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Vectors and Planes

"An important calculation when dealing with vectors and planes, is being able to find a vector normal to a plane through a specific point. There are methods for finding the normal or perpendicular vec ...

Vector Equation of a Line

"We can use vectors to create the vector equation of a line. In order to create the vector equation of a line we use the position vector of a point on the line and the direction vector of the line. In ...

Vector Dot Product

"An operation used frequently on vectors is the vector dot product, sometimes known as the scalar product. The vector dot product is an operation on vectors that takes two vectors and produces a scala ...

Unit Vectors

"One special type of vectors are unit vectors. Unit vectors have a magnitude of one, and the specific unit vectors i and j represent the positive horizontal and vertical unit vectors in a two dimensio ...

The Resultant of Two Forces

"When vectors represent forces, their sum is called the resultant. The resultant of two forces can be found using the methods for adding vectors when the vectors are a geometric representation. When u ...

The Angle Between Vectors

"The vector formula to find the angle between vectors is a useful formula to memorize. This formula uses the dot product, magnitude and cosine to give us the angle between vectors. We can use this for ...

The Angle Between Planes

"We can use knowledge of how to find the angle between vectors to help us find the angle between planes. We can use the dot product to find the angle between planes, or determine whether or not the pl ...

Geometric Representation of Vectors

"When introduced to vectors for the first time, learning the geometric representation of vectors can help students understand their significance and what they really mean. The geometric representation ...

Distance Formula in 3D

"There are two formulas that are important to remember when considering vectors or positions in the 3D coordinate System. The midpoint formula and the distance formula in 3D. The midpoint and distance ...

Components of a Force

"In order to understand the significance of a force vector we must understand the components of force. The components of a force can be seen with horizontal and vertical change when looking at the geo ...

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