How to Sketch a Vector Valued Function and Find Orientation and Rectangular Form | Summary and Q&A

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May 26, 2020
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The Math Sorcerer
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How to Sketch a Vector Valued Function and Find Orientation and Rectangular Form

TL;DR

Learn how to graph vector valued functions and determine their orientation using rectangular form and a simple table.

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Questions & Answers

Q: How do you graph a vector valued function?

To graph a vector valued function, plug in values of T and plot the corresponding X and Y components. Connect the points to create a line representing the function.

Q: What is rectangular form in vector valued functions?

Rectangular form in vector valued functions involves expressing the X component as the equation T/8 and the Y component as the equation T - 1. This form facilitates graphing and calculations.

Q: How do you find the orientation of a graphed vector valued function?

To determine the orientation, create a table with increasing values of T and calculate the corresponding X and Y components. Observe the direction in which the vector is moving to determine the orientation of the graph.

Q: Can you explain the process of graphing vector valued functions in rectangular form further?

To graph in rectangular form, solve for T in one equation (T = 8X) and substitute it into the other equation (Y = 8X - 1). Plot the coordinates on the X-Y plane and connect the dots to form a line. Remember to use arrows to indicate the orientation.

Summary & Key Takeaways

  • A vector valued function is graphed by plugging in values of T and plotting the corresponding X and Y components.

  • To graph in rectangular form, solve for T in one equation and substitute it into the other equation.

  • To determine the orientation, create a table with increasing values of T and observe the direction of the graph.

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