- #1
Saladsamurai
- 3,020
- 7
Column Vectors?
Alrighty. I have a silly question about column Vectors. I first learned about the concept of a vector in Physics, i.e. position, velocity, acceleration, etc. so I easily understand the premise of a row vector. For example the matrix [itex]\left[\begin{array}{ccc}1 & 2 & 3\end{array}\right][/itex] I can easily see possibly represents a position vector [itex]x+2y+3z[/itex] which is a point in three-dimensional space i.e. in the x,y,z planes.
Okay... great. Now the column vector. What is it? Looking at the matrix
[tex]\left[\begin{array}{c}1\\2\\3\end{array}\right][/tex],
I can't as easily see what is represents? That is, why is it a vector?
Can someone give me a physical interpretation of the column vector if possible?
Thanks
Alrighty. I have a silly question about column Vectors. I first learned about the concept of a vector in Physics, i.e. position, velocity, acceleration, etc. so I easily understand the premise of a row vector. For example the matrix [itex]\left[\begin{array}{ccc}1 & 2 & 3\end{array}\right][/itex] I can easily see possibly represents a position vector [itex]x+2y+3z[/itex] which is a point in three-dimensional space i.e. in the x,y,z planes.
Okay... great. Now the column vector. What is it? Looking at the matrix
[tex]\left[\begin{array}{c}1\\2\\3\end{array}\right][/tex],
I can't as easily see what is represents? That is, why is it a vector?
Can someone give me a physical interpretation of the column vector if possible?
Thanks