Vectors are quantities that are defined by two things:
In 2 dimensions, a vector is described by two components:
these components are represented as either:
In this tutorial we learn what a vector is. We learn how to write vectors as both column and row vectors as well as how to represent vectors graphically; that is how to draw vectors.
Using gridded paper, draw each of the following vectors:
Note: you can download a sheet of gridded paper here.
1. For \(\vec{a} = \begin{pmatrix} 5 \\ 2 \end{pmatrix}\) we find:
2. For \(\vec{b} = \begin{pmatrix} -3 \\ 4 \end{pmatrix}\) we find:
3. For \(\vec{c} = \begin{pmatrix} 6 \\ -3 \end{pmatrix}\) we find:
4. For \(\vec{d} = \begin{pmatrix} 0 \\ 5 \end{pmatrix}\) we find:
5. For \(\vec{e} = \begin{pmatrix} -2 \\ -5 \end{pmatrix}\) we find:
6. For \(\vec{f} = \begin{pmatrix} -4 \\ 0 \end{pmatrix}\) we find:
7. For \(\vec{g} = \begin{pmatrix} 1 \\ 6 \end{pmatrix}\) we find:
8. For \(\vec{h} = \begin{pmatrix} 5 \\ 5 \end{pmatrix}\) we find:
In this tutorial we learn what a vector is. We learn how to write vectors as both column and row vectors as well as how to represent vectors graphically; that is how to draw vectors.
Writing your answers as column vectors, find the coordinates of each of the vectors drawn here:
1. vector \(\vec{a}\):
2. vector \(\vec{b}\):
3. vector \(\vec{c}\):
4. vector \(\vec{d}\):
5. vector \(\vec{e}\):
6. vector \(\vec{f}\):
7. vector \(\vec{g}\):
8. vector \(\vec{h}\):
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