find an inner product such that the vectors 1 2 t and 1 2 t form an orthonormal basis of r2 2 41

Name: find an inner product such that the vectors 1 2 t and 1 2 t form an orthonormal basis of r2 2 4111 prove that every orthonormal basis of r2 under the standard dot product has the form u1 cos 44999
Uploaded: 2022-06-20T07:02:50-08:00
Duration: 6 min 57 s
Channel: Shyam P
Description: find an inner product such that the vectors 1 2 t and 1 2 t form an orthonormal basis of r2 2 4111 prove that every orthonormal basis of r2 under the standard dot product has the form u1 cos 44999

Question

Syed Basim Mehmood · Accepted Answer

First, we need to find an inner product such that the vectors (-1, 2)T and (1, 2)T form an ortho

Question

Find an inner product such that the vectors (-1, 2)T and (1, 2)T form an orthonormal basis of R^2. 4.1.11. Prove that every orthonormal basis of R^2 under the standard dot product has the form u1 = (cos θ, sin θ) and u2 = (± -sin θ, cos θ) for some 0 ≤ θ < 2π and some choice of ± sign.

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