In this worksheet, we will practice representing a 2D vector graphically on the xy-plane given either its Cartesian coordinates or its polar coordinates.

**Q1: **

Consider the vector with modulus 3 at an angle of above the positive -axis. Using trigonometry, calculate the - and -components of the vector and, hence, write in the form Round your answer to three significant figures.

- A
- B
- C
- D
- E

**Q2: **

Consider the vector .

Which of the following graphs accurately represents the vector?

- A
- B
- C
- D
- E

Calculate the modulus of the vector.

- A
- B
- C1
- D13
- E26

Given that positive numbers represent measuring counter-clockwise, calculate the measure of the angle the vector makes with the positive -axis. Give your answer to 3 significant figures between and .