Find vector decomposition in basis, online calculator

Arbitrary vector of any -dimensional space can be expressed in the form of the linear combination of some basis vectors of this -dimensional space. Such the decomposition is uniquely one.

Decomposition of the arbitrary -dimensional vector in the basis formed by linearly independent system of -dimensional vectors vector a1 , vector a2 , ... , vector an , has the following form:

vector b = λ1 vector a1 + λ2 vector a2 + ... + λn vector an

, where λi − some constants called the coefficients of the decomposition (linear combination) of the vector in basis vector a1 , vector a2 , ... , vector an.

Our online calculator is able to find the decomposition of vector in basis with step by step solution.

Decompose vector by basis
Vector A11 by:
Vector A22 by:
Vector B by:
Find vector decompositionb1534in basis:a112a22311243
Vector A11 = { }
Vector A22 = { }
Vector B = { }

Install calculator on your site

Other useful links:

Scalar triple product online calculator
Volume of parallelepiped build on vectors online calculator

Leave your comment: