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Perform the indicated vector operation. (12 i -13 j ) - (-16 i -22 j)


A) 28 i + 9 j
B) -4 i -35 j
C) -4 i + 9 j
D) 28 i -35 j

E) B) and C)
F) None of the above

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Find the magnitude of the vector AB. A = (5, 24) and B = (10, 30)


A) Find the magnitude of the vector AB. A = (5, 24) and B = (10, 30) A) B) C) D)
B) Find the magnitude of the vector AB. A = (5, 24) and B = (10, 30) A) B) C) D)
C) Find the magnitude of the vector AB. A = (5, 24) and B = (10, 30) A) B) C) D)
D) Find the magnitude of the vector AB. A = (5, 24) and B = (10, 30) A) B) C) D)

E) B) and D)
F) A) and B)

Correct Answer

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Express the complex number in polar form. Express the complex number in polar form. A) B) C) D)


A) Express the complex number in polar form. A) B) C) D)
B) Express the complex number in polar form. A) B) C) D)
C) Express the complex number in polar form. A) B) C) D)
D) Express the complex number in polar form. A) B) C) D)

E) All of the above
F) A) and B)

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A box weighing 615 pounds is held in place on an inclined plane that has an angle of 14°. What force is required to hold it in place? Round to the nearest pound.


A) 149 pounds
B) 609 pounds
C) 597 pounds
D) no solution

E) A) and B)
F) A) and C)

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Convert the equation Convert the equation from polar to rectangular form. from polar to rectangular form.

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Use a calculator to express the complex number in polar form. Round angle to one decimal place and in degrees. Use a calculator to express the complex number in polar form. Round angle to one decimal place and in degrees.

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10(cos 143...

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A ship's caption sets a course due north at 9 mph. The water is moving at 5 mph due west. What is the actual velocity of the ship, and in what direction is it traveling?

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10.3 mph; ...

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Find a unit vector in the direction angle of the vector v. Find a unit vector in the direction angle of the vector v. A) B) C) D)


A) Find a unit vector in the direction angle of the vector v. A) B) C) D)
B) Find a unit vector in the direction angle of the vector v. A) B) C) D)
C) Find a unit vector in the direction angle of the vector v. A) B) C) D)
D) Find a unit vector in the direction angle of the vector v. A) B) C) D)

E) None of the above
F) A) and B)

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Find all complex solutions to the equation. Find all complex solutions to the equation. A) B) C) D)


A) Find all complex solutions to the equation. A) B) C) D)
B) Find all complex solutions to the equation. A) B) C) D)
C) Find all complex solutions to the equation. A) B) C) D)
D) Find all complex solutions to the equation. A) B) C) D)

E) A) and B)
F) A) and C)

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Find all nth roots of z. Write answers in polar form. Find all nth roots of z. Write answers in polar form. A) B) C) D)


A) Find all nth roots of z. Write answers in polar form. A) B) C) D)
B) Find all nth roots of z. Write answers in polar form. A) B) C) D)
C) Find all nth roots of z. Write answers in polar form. A) B) C) D)
D) Find all nth roots of z. Write answers in polar form. A) B) C) D)

E) None of the above
F) A) and B)

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Convert the point to exact rectangular coordinates. (2, π\pi /2)

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Convert the point to exact rectangular coordinates. Convert the point to exact rectangular coordinates. A) B) C) D)


A) Convert the point to exact rectangular coordinates. A) B) C) D)
B) Convert the point to exact rectangular coordinates. A) B) C) D)
C) Convert the point to exact rectangular coordinates. A) B) C) D)
D) Convert the point to exact rectangular coordinates. A) B) C) D)

E) None of the above
F) A) and D)

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Find all nth roots of z. Write answers in polar form and plot roots in complex plane. Find all nth roots of z. Write answers in polar form and plot roots in complex plane. A) B) C) D)


A) Find all nth roots of z. Write answers in polar form and plot roots in complex plane. A) B) C) D)
B) Find all nth roots of z. Write answers in polar form and plot roots in complex plane. A) B) C) D)
C) Find all nth roots of z. Write answers in polar form and plot roots in complex plane. A) B) C) D)
D) Find all nth roots of z. Write answers in polar form and plot roots in complex plane. A) B) C) D)

E) None of the above
F) C) and D)

Correct Answer

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A force with a magnitude of 470 pounds and another with a magnitude of 347 pounds are acting on an object. The two forces have an angle of 146 degrees between them. What is the magnitude of the resultant force? Round to the nearest pound.

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Find all nth roots of z. Write answers in polar form. Find all nth roots of z. Write answers in polar form.

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Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form. Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form. A) B) C) D)


A) Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form. A) B) C) D)
B) Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form. A) B) C) D)
C) Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form. A) B) C) D)
D) Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form. A) B) C) D)

E) B) and C)
F) A) and C)

Correct Answer

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Convert the point to exact rectangular coordinates. Convert the point to exact rectangular coordinates.

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Find the product, z1z2 in rectangular form. Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and A) B) C) D) and Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and A) B) C) D)


A) Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and A) B) C) D)
B) Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and A) B) C) D)
C) Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and A) B) C) D)
D) Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and A) B) C) D)

E) B) and C)
F) A) and B)

Correct Answer

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A force of 752 pounds is acting on an object at an angle of 77 degrees from the horizontal. Another force of 241 pounds is acting at an angle -43 degrees from the horizontal. What is the magnitude of the resultant force? Round to the nearest pound.


A) 665 pounds
B) 442353 pounds
C) 897 pounds
D) 567 pounds

E) None of the above
F) All of the above

Correct Answer

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Convert the point to exact rectangular coordinates. Convert the point to exact rectangular coordinates. A) B) C) D)


A) Convert the point to exact rectangular coordinates. A) B) C) D)
B) Convert the point to exact rectangular coordinates. A) B) C) D)
C) Convert the point to exact rectangular coordinates. A) B) C) D)
D) Convert the point to exact rectangular coordinates. A) B) C) D)

E) None of the above
F) All of the above

Correct Answer

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