Question

9. $\left|\psi\right> = \begin{pmatrix} 5i \\ 2 \\ -i \end{pmatrix}$, $\left|\phi\right> = \begin{pmatrix} 3 \\ 8i \\ -9i \end{pmatrix}$ a. Find $\left<\psi\right>^*$ and $\left<\psi\right|$. b. Is $\left|\psi\right> $ normalized? If not, normalize it. c. Are $\left|\psi\right>$ and $\left|\phi\right>$ orthogonal?

          9. $\left|\psi\right> = \begin{pmatrix} 5i \\ 2 \\ -i \end{pmatrix}$, $\left|\phi\right> = \begin{pmatrix} 3 \\ 8i \\ -9i \end{pmatrix}$
a. Find $\left<\psi\right>^*$ and $\left<\psi\right|$.
b. Is $\left|\psi\right> $ normalized? If not, normalize it.
c. Are $\left|\psi\right>$ and $\left|\phi\right>$ orthogonal?

9. |ψ> =
< p m a t r i x >, |ϕ> =
< p m a t r i x >
a. Find <ψ>^* and <ψ|.
b. Is |ψ> normalized? If not, normalize it.
c. Are |ψ> and |ϕ> orthogonal?

Added by Edgar B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

02/11/2023

Step 1

The norm of a vector is the square root of the sum of the squares of its components. In this case, the vector *and| has components 3, 18, and 9i. The norm of *and| is given by: ||*and|| = sqrt(3^2 + 18^2 + (9i)^2) = sqrt(9 + 324 + 81i^2) = Show more…

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