Find the unit vector having the same direction as v.v = -3i + j
A. u = -3
i + 
j
B. u = - 
i - 
j
C. u = - 
i + 
j
D. u = - 
i + 
j
Answer: D
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Solve the equation.
+ 
= 12
A. 2
B. 12
C. 
D. 1
Solve the quadratic equation and express all nonreal complex solutions in terms of i.x2 + 80 = 0
A. {±4i}
B. {±i
}
C. {±20i}
D. {±4i
}
Solve the problem.y varies directly as the square of z and y = 27 when z = 3. Find y when z is 6.
A. 9 B. 18 C. 54 D. 108
Solve the problem.Mrs. White wants to crochet hats and afghans for a church fundraising bazaar. She needs 8 hours to make a hat and 4 hours to make an afghan, and she has no more than 68 hours available. She has material for no more than 13 items and no more than 10 afghans. The bazaar will sell the hats for $22 each and the afghans for $12 each. How many of each should she make to maximize the income for the bazaar? What is the maximum income?
A. 10 hats, 3 afghans; $256 B. 4 hats, 9 afghans; $196 C. 6 hats, 7 afghans; $216 D. 9 hats, 4 afghans; $246