Math 127 - Spring 2014
Name ________________________
Quiz 12: In each case select the most appropriate choice, or supply the requested answer.
1. The magnitude and direction angle of a vector
4. Convert the polar equation to rectangular form.
v are given. Write v in the form ai+bj.
Magnitude Angle
ÄvÄ = 6
a.
b.
c.
d.
e.
r = −4 sin θ
45°
a.
b.
– 3 2i – 3 2j
3 2i – 3 2j
–3 2 i + 3 2 j
3 2i + 3 2j
3i + 3j
c.
d.
e.
r = 5 cos 3θ
given. Write v in the form ai+bj.
a.
b.
c.
d.
e.
Terminal Point
(0, 4)
8i + 2j
8i − 2j
−2i − 8j
−2i + 8j
−8i − 2j
3. Convert the rectangular equation to polar form.
(Hint: you will need to use a double-angle
formula.)
xy = 17
a.
b.
c.
d.
e.
2
r
2
r
2
r
2
r
2
r
2
5. Graph of the polar equation by plotting points.
2. The initial and terminal points of a vector v are
Initial Point
(−8, 6)
2
x + y − 4x = 0
2
2
x + y − 4y = 0
2
2
x + y + 4x = 0
2
2
x + y + 4y = 0
2
2
x +y −4= 0
= 17 sec 2θ
= 34 csc 2θ
= 34 cos 2θ
= 17 csc 2θ
= 34 sec 2θ
1