practice3sol.pdf - PRACTICE EXAM III Maths 21a O Knill...

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8/9/2018 PRACTICE EXAM IIIMaths 21a, O. Knill, Summer 2018Name:Start by printing your name in the above box.Try to answer each question on the same page as the question is asked. If needed, usethe back or the next empty page for work.Do not detach pages from this exam packet or unstaple the packet.Please try to write neatly. Answers which are illegible for the grader can not be givencredit.No notes, books, calculators, computers, or other electronic aids are allowed.Problems 1-2 do not require any justifications. Problem 3 only 1-2 words. For the rest ofthe problems you have to show your work. Even correct answers without derivation cannot be given credit.You have 180 minutes time to complete your work.12021031041051061071081091010101110121013101410Total:1501
Problem 1) (20 points) No justifications are necessary1)TFThe vectors~v=h10,0,0iand~w=h20,0,0iare perpendicular.
2)TF
2
9)TFIf~Fis a conservative vector field in space, then~Fis has zero divergenceeverywhere.

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