In this worksheet, we will practice getting the polar form of a vector and proving that the two vectors are parallel or perpendicular.

**Q2: **

If is the position vector, in polar form, of the point relative to the origin , find the -coordinates of the point .

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- B
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**Q3: **

Given the point , express, in polar form, its position vector relative to the origin point.

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- D

**Q4: **

Given that , , and , find the value of .

**Q5: **

Trapezium has vertices , , , and . Given that , find the value of .

**Q6: **

Let and

Find .

Which of the following is, therefore, true of the vectors?

- AThey are perpendicular.
- BIt does not tell anything about the vectors.
- CThey are parallel but in opposite directions.
- DThey are parallel but in the same direction.
- EThe two vectors are equal in length.

**Q7: **

Given that the vectors and are perpendicular, find the value of .

**Q8: **

Given that the vectors and are perpendicular, find the value of .

**Q9: **

Given the point , express, in polar form, its position vector relative to the origin point.

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- E

**Q10: **

Given the point , express, in polar form, its position vector relative to the origin point.

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- B
- C
- D
- E

**Q11: **

Given the point , express, in polar form, its position vector relative to the origin point.

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- B
- C
- D
- E

**Q12: **

Given the point , express, in polar form, its position vector relative to the origin point.

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- B
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- D
- E