Find vectors in Orthogonal basis set spanning R4

[Minal]

An orthogonal basis set spanning R4 has four vectors, v1, v2, v3 and v4.
If v1 and v2 are
[ −1 2 3 0 ] and [−1 1 −1 0 ]
find v3 and v4.

Please explain this in a very simple way.

 

[member 587159]

An orthogonal basis set spanning R4 has four vectors, v1, v2, v3 and v4.
If v1 and v2 are
[ −1 2 3 0 ] and [−1 1 −1 0 ]
find v3 and v4.

Please explain this in a very simple way.

You have to find $v_3, v_4$ such that those 2 vectors are orthogonal to $v_1, v_2$ (hint: Gramm-Schmidt)

 

[member 587159]

please write the formula to find v3 and v4.

You should do that yourself. Nobody is going to make your homework.