Let r = (2,-i, 1), and y = (-i, 3,1 + i) be vectors in C3. Compute (x, y), ||x||, |ly|l, and ||r+y||. Then verify both the Cauchy-Schwarz inequality and the triangle inequality. %3D

5. Determine if the vectors x² + x, 2x²,2x − 3, 9 in P3 are linearly independent or linearly dependent. Do these vectors span P3 ? Explain.

Let y 18 = = || -91 -3 and u 5 4 -2 Write y as the sum of two orthogonal vectors, ₁ in Span {u} and 2 orthogonal to u. x₂ = ts ||

There are 6 linearly independent vectors in R5. O True False