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Math Pre-Calculus Blizzard Bag 2014 - 2015 vectors
1. Divide the complex number z1 by the complex number z2.
A.
B.
C.
D.
2. Which of the following best describes a scalar quantity?
i) A scalar quantity has only magnitude.
ii) A scalar quantity has only direction.
iii) A scalar quantity has both magnitude and direction.
iv) A scalar quantity does not have magnitude or direction.
A. iii
B. iv
C. ii
D. i
3. In bracket notation, write the algebraic vector that represents the geometric vector below.
A.
B.
C.
D.
4. Given that v is a vector, which of the following algebraic expressions is equivalent to 0v?
A. Undefined
B. v
C. 1
D. 0
5. Determine whether the following vectors v and w are orthogonal, parallel, or neither.
A. The vectors are parallel.
B. neither orthogonal nor parallel
C. The vectors are orthogonal and parallel.
D. The vectors are orthogonal.
6.
Vectors v and w are shown above. Which of the following represents w - v?
W.
X.
Y.
Z.
A. X
B. Z
C. W
D. Y
7. Add the following vectors.
A.
B.
C.
D.
8. Given that v is a vector, which of the following algebraic expressions is equivalent to 1v?
A. 0
B. 2v
C. 1
D. v
9. Calculate the dot product of the following two vectors.
A.
B.
C.
D.
10. Which of the following best describes a vector quantity?
i) A vector quantity has only magnitude.
ii) A vector quantity has only direction.
iii) A vector quantity has both magnitude and direction.
iv) A vector quantity does not have magnitude or direction.
A. iv
B. iii
C. i
D. ii
11.
Which of the following vectors is equal to the vector above?
W.
X.
Y.
Z.
A. X
B. Z
C. Q
D. W
12. Add the following vectors.
A.
B.
C.
D.
13. Calculate z8 for the following complex number z using DeMoivre's Theorem.
A.
B.
C.
D.
14.
If x = 32.5 cm and z = 39.2 cm, what is the measure of angle ?
A. 50°
B. 40°
C. 34°
D. 56°
15.
Vectors v and w are shown above. Which of the following represents 2w + v?
W.
X.
Y.
Z.
A. Y
B. Z
C. X
D. W