Let mathcal B := (b_{1}, b_{2}, b_{3}) be an orthonormal basis of mathbb R ^ 3 such that
b_{2} = 1/(sqrt(2)) * [[- 1], [1], [0]]
Let
v = [[- 2], [2], [- 1]]
and let c_{1} , c_{2} c_{3} be scalars such that v = c_{1}*b_{1} + c_{2}*b_{2} + c_{3}*b_{3}
What is c_{2} ?
c_{2} =
number (2 digits after decimal)
