Visualize the Gram-Schmidt process for the construction of an orthonormal vector basis of R³

In this demonstration, an orthonormal basis in R³ starting from a, b, c will be constructed and plotted, if the input vectors are linear independent.

Type in your input and click on "Generate Plot."

Input vector a
(in the form [a₁ a₂ a₃])

Input vector b
(in the form [b₁ b₂ b₃])

Input vector c
(in the form [c₁ c₂ c₃])

Input vector a (in the form [a1 a2 a3])

Input vector b (in the form [b1 b2 b3])

Input vector c (in the form [c1 c2 c3])

Input vector a
(in the form [a₁ a₂ a₃])

Input vector b
(in the form [b₁ b₂ b₃])

Input vector c
(in the form [c₁ c₂ c₃])