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Polar/Rectangular Form
Evaluate Vector
Complex Numbers in Trig
Multiplication/Division of Vectors
Application/Random Facts about Mrs. Moses
100
These coordinates in Polar form (0,-3).
What is (3,3pi/2) or (3, 270 degrees)?
100
u= (-1,-3), 3u=
What is (-3,-9)
100
Standard notation (a+bi) of root8(cos pi/4 + isin pi/4).
What is 2+2i?
100
Formula for multiplication of trigonometric forms.
What is r1r2(cos(x1+x2) + i sin(x1+x2)? where x1 and x2 are the angles.
100
2
What is the number of children Mrs. Moses has?
200
These coordinates in rectangular form (5, pi/3).
What is (5/2, 5root3/2)?
200
u=2i-j and v= 5i+3j, u+v=
What is (7,2)
200
Standard notation (a+bi) of 6(cos 120 degrees + isin 120 degrees).
What is -3 + 3root3i?
200
Formula for division of complex numbers in trigonometric form.
What is r1/r2(cos(x1-x2) + isin(x1-x2))? where x1 and x2 are the angles.
200
Fountain, Colorado.
What is the city Mrs. Moses grew up in.
300
These coordinates in rectangular form (1, 315 degrees)
What is (root2/2,-root2/2)?
300
Linear combination of vectors i and j for given initial and terminal points. initial: (-8,3) terminal: (1,-5)
What is 9i-8j
300
Complex number in trigonometric for -2i.
What is 2(cos 3pi/2 + isin 3pi/2)?
300
Solve [5/2(cos pi/2 + isin pi/2)][4(cos pi/4 + isin pi/4)].
What is -5root2 + 5root2i?
300
Forces of 15 newtons and 25 newtons act on an object at right angles to each other. Magnitude= and Direction=
What is 29.2 and .06
400
These coordinates in polar form (5root2/2, -5root2/2)
What is (5,315 degrees) or (5, 7pi/4)?
400
Component form of w, where u=6i-5j and v=10j+3i w=4u+5v
What is 74i-5j?
400
Complex number in trigonometric form 1-i
What is root2( cos 7pi/4 + isin 7pi/4)?
400
Solve. [3(cos 230 + isin 230)]/[9(cos 95 + isin 95)]
What is -root2/6 + root2/6 i?
400
A hot air balloon is rising vertically 10 ft/sec while the wind is blowing horizontally 5 ft/sec. Find speed v of the balloon and the angle that it makes with the horizontal.
What is 11 ft/sec and 63 degrees?
500
These coordinates in polar form (-3/2, -3root3/2)
What is (3, 4pi/3) or (3, 240 degrees)
500
Unit vector in the direction of given vector. (-12,-5)
What is (-12/13, -5/13)?
500
Complex number in trigonometric form. -9/2-9root3i/2
What is 9(cos 4pi/3 + isin 4pi/3)?
500
Convert to trigonometric notation then divide.
What is -2i?
500
An airplane has an airspeed of 430 mph at a bearing of 135 degrees. The wind velocity is 35 mph in the direction N 30 degrees E. Find the resultant speed and direction of the plane.
What is 422.296 mph and 130.4 degrees?