Question

Orthonormal basis stuff......?

1). Consider the orthonormal vectors u1, u2, u3, u4, u5 in R^10. Find the length of the vector x=7u1-3u2+2u3+u4-u5.

2). Consider a plane V in R^3 with orthonormal basis u1,u2. Let x be a vector in R^3. Find a formula for the refection R(x) of x about the plane V.

Thanks!

Answer 1

Here's the answer for #2