Draw Argand diagrams to illustrate the (kz)*=kz*where k is a real number and z* means the conjugate of z

I know I am asking a lot so if you find it to troublesome to "draw" a diagram, can you please thoroughly describe what it looks like.

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- Jul 31st 2006, 02:38 AMkingkaisai2Argand diagrams
Draw Argand diagrams to illustrate the (kz)*=kz*where k is a real number and z* means the conjugate of z

I know I am asking a lot so if you find it to troublesome to "draw" a diagram, can you please thoroughly describe what it looks like. - Jul 31st 2006, 05:13 AMtopsquarkQuote:

Originally Posted by**kingkaisai2**

You can think of the complex numbers as vectors in the Argand plane. So by multiplying z by a real number k you are simply stretching the vector by a factor of k.

Now it's simply a matter of showing that the operations of stretching and reflecting the vector over the real axis are commutative, which should be obvious.

-Dan