Chapter 1: Vectors, Lines and Planes
Section 1.1: Cartesian Coordinates and Vectors
Example 1.1.5
Draw the position vector to the Cartesian point 1,2,3.
Solution
Interactive Solution
Figure 1.1.5(b) is obtained interactively by the following steps.
Enter the position vector to 1,2,3. (See Table 1.1.1.) Press the Enter key.
Context Panel: Plots≻Arrow from origin Press OK in the "Specify arrow length" dialog. (See Figure 1.1.5(a).)
Figure 1.1.5(a) "Specify arrow length" dialog
plots:-arrow([0,0,0],convert(<1,2,3>,'list'),'length'=sqrt(14),'scaling'='constrained');
Figure 1.1.5(b) Position vector to 1,2,3
In essence, the Plots option in the Context Panel for a vector provides for the graphing of the vector as a position vector.
Coded Solution
Tools≻Load Package: Student Vector Calculus
Loading Student:-VectorCalculus
Apply the PlotVector command to the vector 1,2,3, formed as per Table 1.1.1.
PlotVector1,2,3,scaling=constrained
The PlotVector command in either of the VectorCalculus packages is the most versatile tool for graphing vectors of different types.
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