How to Sketch a Vector Valued Function and Find Orientation and Rectangular Form  Summary and Q&A
TL;DR
Learn how to graph vector valued functions and determine their orientation using rectangular form and a simple table.
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 XY 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.