Complex Numbers (1 Viewer)

[cookiez69]

Hey guys,

I'm confused for both questions a) and b)

Thanks in advance

 

[asianese]

a) By how much do we need to rotate and stretch z1 to obtain P? What quantity does 1+i represent in terms of its modulus/argument? What are the angles of the triangle OAP? How does this relate?

b) By part a), how do we obtain Q? Now that we have P and Q, we can easily compute the midpoint.

 

[jenslekman]

a) By how much do we need to rotate and stretch z1 to obtain P? What quantity does 1+i represent in terms of its modulus/argument? What are the angles of the triangle OAP? How does this relate?

b) By part a), how do we obtain Q? Now that we have P and Q, we can easily compute the midpoint.

for a) i think we need to rotate it 45 degrees - but what do you mean by stretching it and how does this have anything to do with triangles there are no triangles in the question ... i dun geddit

 

[Sy123]

Hey guys,

I'm confused for both questions a) and b)

Thanks in advance

For a, consider the vector and rotate it 90 degrees to achieve the vector

Let P represent the complex number p









b)

We do something very similar for Q, except we rotate about point B (remember we always rotate anti-clockwise),
Then add and divide by 2

 

[cookiez69]

For a, consider the vector and rotate it 90 degrees to achieve the vector

Let P represent the complex number p









b)

We do something very similar for Q, except we rotate about point B (remember we always rotate anti-clockwise),
Then add and divide by 2

Thank you very much!