Question
How do I do this using Maple? Use Maple, compute the two vectors pq and pr and compute the angle between these vectors in two
How do I do this using Maple?
Use Maple,
compute the two vectors pq and pr and compute the angle between these vectors in two different ways,
Draw the triangle T formed by p, q, and r, as well as the vectors pq pr starting from p, showing several pictures to illustrate the relationship between v and this triangle, and
Find the equation of the plane containing p, q, and r.
Your code should consist of the following:
Storing the three points p, q, and r. As a general rule, you should always be storing your inputs and using variables instead of just carrying numbers from one step to the next. This will make the underlying process more clear for you (and help you with exams later on).
Compute the vectors pq and pr, and finding the angle between these vectors in two ways, one using the dot product and a second using the cross product.
Compute v =pq pr and describe in words how v relates to the vectors pq and pr. You can include this in a comment within the code.
Two plots (Figure 1 and Figure 2) that draw the triangle T made up of points p, q, and r, and a line segment coming from p in the direction of v to illustrate your result from the previous part. You want to have a different viewing angle for the two plots so that they show different views of the image.
A calculation of the equation of the plane containing p, q, and r. You need to display the equation in all three forms; one vector and two scalar forms. (You can do this in a comment if need be.)
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