Given the cylindrical coordinates: A(5, 30°, 6) and B(7, 60°, -3) a. Convert the point A into spherical coordinates. b. Convert the point B into spherical coordinates. c. Determine the vector that extends from point A to B in rectangular form. d. Determine the vector that extends from point A to B in cylindrical form, based on point B. e. Determine the vector that extends from point A to B in spherical form, based on point B.

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Given the cylindrical coordinates: A(5, 30°, 6) and B(7,60°, -3)
a. Convert the point A into spherical coordinates.
b. Convert the point B into spherical coordinates.
c. Determine the vector that extends from point A to B in rectangular form.
d. Determine the vector that extends from point A to B in cylindrical form, based on
point B.
e. Determine the vector that extends from point A to B in spherical form, based on
point B.
Transcribed Image Text:Given the cylindrical coordinates: A(5, 30°, 6) and B(7,60°, -3) a. Convert the point A into spherical coordinates. b. Convert the point B into spherical coordinates. c. Determine the vector that extends from point A to B in rectangular form. d. Determine the vector that extends from point A to B in cylindrical form, based on point B. e. Determine the vector that extends from point A to B in spherical form, based on point B.
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