# Lesson Worksheet: Polar Form of a Vector Mathematics

In this worksheet, we will practice converting between rectangular and polar forms of a vector.

Q1:

Consider the vector . Calculate the direction of the vector, giving your solution as an angle to the nearest degree measured counterclockwise from the positive -axis.

Q2:

Fill in the blank: If , then the polar form of is .

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Q3:

Fill in the blank: If , then the polar form of vector is .

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Q4:

Consider the vector with modulus 3 and an angle of measured counter-clockwise from the positive -axis. Using trigonometry, calculate the - and -components of the vector and, hence, write in the form . Round your answer to two decimal places. • A
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Q5:

Fill in the blank: If , then . • A
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Q6:

Fill in the blank: If , then , in terms of the fundamental unit vectors, is .

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Q7:

Which of the following is the polar representation of ?

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Fill in the blank: If and , then .

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Q9:

If , , and , then .

Q10:

Fill in the blank: If the force acts in the direction east of north, where the east represents the positive and the north represents the positive , then .

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