X2 M/C NEAP22

Let the point P on an Argand diagram represent the complex number z. After being multiplied by another complex number, ω, P is rotated 90° clockwise and is enlarged by a factor of 3.

Which of the following is the value of ω?

Answer explanation

MEX–N1 Introduction to Complex Numbers

MEX12–1, 12– 4 Band E2

• 12 m/s

• 13 m/s

• 39 m/s

• 117 m/s

Answer explanation

MEX–M1 Applications of Calculus to Mechanics

MEX12– 6, 12–7 Band E3

Answer explanation

MEX– C1 Further Integration

MEX12–5 Band E3

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• 
• 
• 

Answer explanation

MEX–V1 Further Work with Vectors

MEX12–3 Bands E2–E3

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• 
• 
• 

Answer explanation

MEX–N2 Using Complex Numbers

MEX12– 4 Band E3

• 1.33 m/s

• 1.67 m/s

• 2.33 m/s

• 2.67 m/s

Answer explanation

MEX–M1 Applications of Calculus to Mechanics

MEX12– 6 Bands E2–E3

Which of the following statements is true for the given lines?

• The lines will intersect, and the angle between the two lines is 2.37 radians.

• The lines will intersect, and the angle between the two lines is 2.50 radians.

• The lines will not intersect, and the angle between the two lines is 2.50 radians.

• The lines will not intersect and, therefore, we cannot conclude what angle the two lines will make with each other.

Answer explanation

MEX–V1 Further Work with Vectors

MEX12–3 Bands E2–E3

Answer explanation

MEX–P1 The Nature of Proof

MEX12–2, 12–8 Band E2

Consider the statement.

‘If I have the flu, you also have the flu.’

Which of the following is logically equivalent to the statement?

• If you have the flu, I also have the flu.

• If I do not have the flu, you do not have the flu.

• If you do not have the flu, I do not have the flu.

• You will have the flu only if I have the flu.

Answer explanation

MEX–P1 The Nature of Proof

MEX12–2, 12–8 Band E2

Consider the parametric equations given

Which of the following best describes the path of a particle with these parametric equations?

• spiral around the z-axis, traversing in a clockwise direction

• spiral around the z-axis, traversing in an anticlockwise direction

• helix around the z-axis, traversing in a clockwise direction

• helix around the z-axis, traversing in an anticlockwise direction

Answer explanation

MEX–V1 Further Work with Vectors

MEX12–1, 12–3 Bands E3–E4

ok... there's a problem with this explanation. It's wrong. The movement is definitely clockwise, so correct answer is A.

and... this 'solution' only uses two points, which is not enough determine direction.