1. Chapter 9 Review

2. Can you solve it? Name 10 body parts that contain exactly 3 letters.
Example: “pit” doesn’t count

3. Polar Coordinates (𝑟, 𝜃) Plot the following points (5, 5𝜋 3 ) 2, − 𝜋 4
(5, 5𝜋 3 )
2, − 𝜋 4
(1, 3𝜋)

4. Converting from one to the other…
Polar to Rectangular
𝑥=𝑟𝑐𝑜𝑠 𝜃 and 𝑦=𝑟𝑠𝑖𝑛 𝜃
Convert (4, 30°)
Rectangular to Polar
𝑟 2 = 𝑥 2 + 𝑦 2
tan 𝜃= 𝑦 𝑥
Convert (5, 5).

5. Equation Form Convert from Polar to Rectangular
𝑟=6 cos 𝜃
Convert from Rectangular to Polar
4𝑥𝑦=9

6. Graphing Polar Equations
Graph: r = 3
Graph: 𝜃= 𝜋 4
Graph: 𝑟=4𝑟 sin 𝜃

7. Vectors
𝑃𝑜𝑖𝑛𝑡𝑠 2,4 𝑎𝑛𝑑 5, 3
Find the position vector 𝑣 using the points above.
If 𝑤=<4, 4>, Solve the following:
Graph 𝑣 𝑎𝑛𝑑 𝑤
Graph 𝑣+𝑤. Calculate its value.
What is 3𝑣?
Magnitude of 𝑣
Unit vector of 𝑣

8. Dot Product If 𝑣= <2, −5>𝑎𝑛𝑑 𝑤= <6, 4>
Find the dot product of 𝑣 𝑎𝑛𝑑 𝑤
Find the angle between 𝑣 𝑎𝑛𝑑 𝑤
When are vectors parallel
ℎ= <−2, 7> and 𝑗= <2, −7>
When are vectors perpendicular
The dot product is equal to zero.

9. Vectors
𝑃𝑜𝑖𝑛𝑡𝑠 2,4, 1 𝑎𝑛𝑑 5, 3, 2
Find the distance between the two points above.
Find the position vector 𝑣 using the points above.
If 𝑤=<4, 4, 3>, Solve the following:
Calculate 𝑣+𝑤.
What is 2𝑣?
Magnitude of 𝑣
Unit vector of 𝑣

10. Homework - Review
Pg. 632, 1-19 (odd), (odd), 85-91(odd)