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Geometrically, what can the dot product be used to find? What about the cross product? (List more than one mathematical/geometric use for each; I'm not asking about physics applications.)

Geometrically, what can the dot product be used to find? What about the cross product? (List more than one mathematical/geometric use for each; I'm not asking about physics applications.)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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b. a. Geometrically, what can the dot product be used to find? What about the cross product? (List more than one mathematical/geometric use for each; I'm not asking about physics applications.) The three graphs below are cross sections parallel to the XY plane for 3 different surfaces; all show circular cross sections. How are they different? What is the significance of those differences to each surface? Sketch the 3-dimensional surface for each. Note: the coloring tells you the height of each slice: the darker the region, the lower the height (i.e., the lower the K value), the lighter the region, the higher it is. (Assume the slices are at equal increments of K.) y
Transcribed Image Text:b. a. Geometrically, what can the dot product be used to find? What about the cross product? (List more than one mathematical/geometric use for each; I'm not asking about physics applications.) The three graphs below are cross sections parallel to the XY plane for 3 different surfaces; all show circular cross sections. How are they different? What is the significance of those differences to each surface? Sketch the 3-dimensional surface for each. Note: the coloring tells you the height of each slice: the darker the region, the lower the height (i.e., the lower the K value), the lighter the region, the higher it is. (Assume the slices are at equal increments of K.) y
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