# Vectors online calculators

This section contains calculators which allow one to perform all the basic operations on
*vectors*. In particular, by using these calculators one can find scalar, vector and mixed (scalar triple) products of vectors, find vector's decomposition in given basis, check vectors orthogonality, complanarity, ect. There are 19 calculators and step by step solution is provided for each of them.

## Vectors operations 19

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Vectors addition
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Calculator finds sum of two vectors given in coordinate form.

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Vectors difference
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Calculator finds difference of two vectors given in coordinate form.

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Scalar times vector
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Calculator muliplies vector by scalar.

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Scalar product of vectors
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Calculator allows you to find scalar product of two vectors.

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Vector product of vectors
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Calculator allows you to find vector product of two vectors.

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Scalar triple (mixed) product of vectors
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Calculator finds mixed product of three vectors.

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Vector magnitude (length)
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Calculator finds length of the given vector with step by step solution.

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Angle between vectors
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Calculator is able to find angle between two vectors. Step by step solution is also available.

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Vector's directional cosines
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Calculator finds directional cosines of the vector with step by step solution.

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Vector's projection
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Calculator finds projection of the vector to axis or another vector.

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Area of the triangle, build on vectors
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Calculator finds triangle area. Triangle is given by two vectors.

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Area of the parallelogram, build on vectors
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Calculator finds parallelogram area. Parallelogram is given by two vectors.

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Volume of the parallelepiped, build on vectors
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Calculator finds volume of the parallelepiped, build on vectors.

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Volume of the tetrahedron, build on vectors
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Calculator finds volume of the tetrahedron, build on vectors.

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Check vectors orthogonality
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Calculator checks vectors orthogonality with step by step solution.

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Check vectors collinearity
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Calculator checks collinearity of two given vectors.

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Check vectors complanarity
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Calculator checks complanarity of three given vectors.

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Check system of vectors form the basis
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Calculator checks whether given system of vectors form basis.

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Find vector decomposition in basis
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Calculator is able to find vector decomposition in basis with step by step solution.