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quiz1sol

# quiz1sol - Math 251 Spring 2008 Quiz 1 Solutions Describe...

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Math 251, Spring 2008, Quiz 1 Solutions Describe the region defined by x = y = z . How about x = y = z 2 ? What if you had just x = z 2 . Draw a picture in all three cases to get full credit. This part is worth 6 marks. We did in recitation last time that vector b - proj vectora vector b is orthogonal to vectora because projection of a vector vector b onto vectora gives us the component of vector b in the direction of vectora . We’ll try an analogue of that for cross products. Let vectora, vector b be two given vectors. Consider pp vectora, vector b vector c = vector c - ( vector c. vectora × vector b | vectora × vector b | ) vectora × vector b | vectora × vector b | . What kind of a vector is this? Draw a picture and describe your answer in words. You neednt prove anything here. This part is worth 4 marks.

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quiz1sol - Math 251 Spring 2008 Quiz 1 Solutions Describe...

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