Results 1 to 3 of 3

Math Help - Angle between vectors in complex space

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    12

    Angle between vectors in complex space

    Hi all,

    How can I find the angle between two complex vectors? for example

    \begin{bmatrix}-0.8187 + 0.0000i \\-0.1488 - 0.0089i \\ -0.0266 + 0.0167i \\ 0.5010 + 0.2166i \\ -0.0886 + 0.0264i \end{bmatrix}<br /> <br />
\begin{bmatrix}-0.1510 + 0.0000i \\-0.0257 + 0.0195i \\ 0.5214 + 0.1720i \\ -0.8147 + 0.0624i \\ 0.0827 + 0.0185i \end{bmatrix}

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2
    Using the dot product defined as

    \displaystyle\langle x,y\rangle=\sum_{k=1}^{n}x_{k}\bar{y}_{n},

    try this formula:

    \langle x,y\rangle=\sqrt{\langle x,x\rangle}\sqrt{\langle y,y\rangle}\,\cos(\theta).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    14,973
    Thanks
    1121
    Of course, in complex space, you cannot expect the "angle" to be a real number.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: June 18th 2011, 10:31 AM
  2. Find angle in 3D space, from two vectors
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: June 19th 2010, 12:01 AM
  3. Angle in a triangle with three coordinates in space
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: February 8th 2010, 04:17 PM
  4. angle between the vectors
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 25th 2009, 06:27 PM
  5. Calculating Angle From Two Points in 3d Space
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 9th 2008, 10:28 PM

Search Tags


/mathhelpforum @mathhelpforum