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Chapter 9: Vector Calculus
Section 9.2: Vector Objects
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Example 9.2.6
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The vertices of a triangle are A:, B:, C:. Draw the triangle with sides as vectors from A to B, B to C, and C to A.
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Solution
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Maple Solution - Interactive
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Initialize
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Tools≻Load Package: Student Vector Calculus
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Loading Student:-VectorCalculus
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Tools≻Tasks≻Browse: Calculus - Vector≻
Vector Algebra and Settings≻
Display Format for Vectors
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Press the Access Settings button and select
"Display as Column Vector"
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Display Format for Vectors
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Define the points A, B, C as free vectors
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Context Panel: Assign to a Name≻A
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Context Panel: Assign to a Name≻B
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Context Panel: Assign to a Name≻C
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Define the rooted vectors AB, BC, CA
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Write the appropriate difference of two free vectors.
Context Panel: Evaluate and Display Inline
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Context Panel: Student Vector Calculus≻Conversions≻To Rooted Vector
(Enter the root point as a list of coordinates, as per the figure to the right.)
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Context Panel: Assign to a Name≻AB, BC, CA, as appropriate
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=
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Obtain a graph of the edges of the triangle
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Write a sequence of names of the rooted vectors.
Context Panel: Evaluate and Display Inline
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Context Panel: Plots≻Arrows
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The initial graph can be morphed into the version below by a series of interactive manipulations via the Context Panel.
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Apply Constrained Scaling.
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Select arrow AB. Select Style≻Polygon
Select Color to change the color of the body of the arrow to red. Repeat for arrow CA. Leave BC black.
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Select Axes≻Properties to reset the view.
Uncheck "Use data extents" and reset the minimum and maximum values of the range.
Click "Apply" to apply the change. Repeat for the Vertical axis.
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Maple Solution - Coded
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Initialize
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Install the Student VectorCalculus package and execute the BasisFormat command.
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Define the points A, B, C as free vectors.
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Define the rooted vectors AB, BC, CA
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Apply the PlotVector command
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<< Previous Example Section 9.2
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