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Exam2.v1.2011Spring

# Exam2.v1.2011Spring - ITI 111 Spring 2011 Exam 2 Vectors...

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ITI 111 Spring 2011. Exam 2 Vectors: If the vectors (2,4, 3,6) (0,2,1,5) a b  are as indicated, what are the values of 1. |a| a. 65 b. 6.86 c. 9 d. 4.34 2. |b| a. 5.39 b. 10 c. 29 d. 2.83 3. <a|b> a. 94 b. 16 c. -1,440 d. 35 4. cos(angle between a and b) a. .37 b. .80 c. .02 d. .14 5. angle between a and b (in degrees) a. 82 b. 68 c. 88 d. 36 Matrices If the matrices are as indicated here 01 1 3 2 4 2 3 1 4 1 1 0 2 5 ; ; 1 5 ; 2 5 2 0 0 8 1 2 3 2 11 A B C D 6. Which of these is a 2x3 matrix: A B C D E=none of them 7. Which of these is a 2x4 matrix?

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A B C D E=none of them 8. Which of these products can be computed, according to the laws of matrix multiplication: AA AB AC AD BA BB BC BD ; ; ; TT B A BD DB DD [Please circle all the correct possibilities] 9. Which of these products can have an element that is the (3,4) element of the product. [That is, if we call the product matrix P, the element that is indexed as 34 P ?? AC BC BD ; ; ; B A BD DB DD 10. What is the actual value of the element 3,4 P Semantic Bases: If the Matrix relating terms to concepts is given by: Terms Concept young tea tax lab
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Exam2.v1.2011Spring - ITI 111 Spring 2011 Exam 2 Vectors...

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