Quiz3A-Questions - MATH 1300-Borgersen Name Quiz 3A 14R-Term 2 Student Number Answer all questions and show all your work No calculators allowed(Total

Quiz3A-Questions - MATH 1300-Borgersen Name Quiz 3A...

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MATH 1300-Borgersen Quiz 3A 14R-Term 2 2014-03-04 Name: Student Number: Answer all questions and show all your work. No calculators allowed. (Total Marks: 24). You have 20 minutes to complete the quiz. 1.[8]Calculate the determinant of the following matrix.1xx2x311 +xx2x31x2 +x2x31xx23 +x32.(a)[3]The vectoruhas the opposite direction as the vector (-1,1,3). Assuming we positionuso it starts at the pointP(1,2,-5), find a possible ending point ofu.continued on back...
(b)[3]Letv= (3,,4). Find all scalarscsuch that||cv||= 15.3.[10]Finda, b, cRsuch thata(1,,0) +b(0,1,2) +c(5,-3,-1) = (4,-3,4). Use any method andshow all your work.4.BONUS: 3 MARKS. Letu= (a, b) be a vector inR2. Prove that if||u||= 0, then it mustbe thatu=. In other words, prove that theonlyvector with a length of 0 is the zero vector.

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