Vector calculator

This page allows you to carry computations over vectors. The components of these vectors may be real or complex numbers, as well as parametric expressions.
Enter your vectors (horizontal, with components separated by commas): ( Examples )

v1 = () v2 = ()

Then choose what you want to compute.

• Analysis of linear dependence among v1,v2.
• A linear combination of v1,v2:
u =
• Orthogonal complement of v1,v2.
• Visualisation of the vectors (only for vectors in ${ℝ}^{2}$ and ${ℝ}^{3}$).
• Scalar product of and . (Hermitian product in the case of complex vectors).
• Cross product of and . (Only for vectors in ${ℝ}^{3}$.)

You may the number of vectors to compute:

Related tools: matrix calculator, linear system solver.

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Please take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.

• Description: linear dependence, orthogonal complement, visualisation, products... interactive exercises, online calculators and plotters, mathematical recreation and games, Pôle Formation CFAI-CENTRE
• Keywords: CFAI,interactive math, server side interactivity, linear_algebra, algebra, mathematics, vectors, Gram-Schmidt, matrix, linear_systems, vector_space