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U=(3, 3 , 3) and column vector.

  1. Aug 22, 2013 #1
    If u=(3, 3 , 3) is a vector in R3 then we can draw the vector in a three dimensional space.(3=x coordinate, 3= y coordinate, 3= z coordinate.)

    if x = \begin{bmatrix} x_1 \\ x_2 \\ \vdots \\ x_m \end{bmatrix} is a column vector in Rm then how can we draw it?
    In addition we call X = \begin{bmatrix} x_1 \\ x_2 \\ \vdots \\ x_m \end{bmatrix} column vector. My question is what is the name of u=(3, 3 , 3) vector?
     
    Last edited: Aug 22, 2013
  2. jcsd
  3. Aug 22, 2013 #2

    mfb

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    There is no single, general way to draw a vector of an n-dimensional space on paper if n>3. There might be some interesting methods for specific applications, but you always have to ignore some components, or use other tools like color codes or whatever.

    Row vector.
     
  4. Aug 22, 2013 #3
    I think u=(3, 3 , 3)T is a column vector, three dimensional. How can I draw it now?
     
  5. Aug 22, 2013 #4

    HallsofIvy

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    Yes, it is obviously "three dimensional". Being a "column" vector as opposed to a "row" vector is irrelevant here. You draw such a vector, in two dimensions, by projecting the three dimensional vector onto the two dimensional surface. How you do that depends upon what kind of projection you want to use and, most importantly, from which direction you are looking at the vector.
     
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