# Worksheet: Polar Form of a Vector

Q1:

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

• A
• B
• C
• D

Q2:

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

• A
• B
• C
• D
• E

Q3:

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

• A
• B9
• C46
• D11
• E1

Q4:

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

• A
• B
• C
• D

Q5:

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

• A
• B
• C
• D
• E

Q6:

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

• A
• B
• C
• D
• E

Q7:

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

• A
• B
• C
• D
• E

Q8:

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

• A
• B
• C
• D
• E

Q9:

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

Q10:

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.

Q11:

Given that , , and , find the value of .

Q12:

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