3psilon
If complex number z = 4-6i , then | z-2 | = ?
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UnkleRhaukus
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|dw:1350784902834:dw|
3psilon
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I don't understand?
UnkleRhaukus
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|dw:1350784964700:dw|
3psilon
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Why is it coordinates? I thought it meant absolute value?
UnkleRhaukus
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|dw:1350785015499:dw|
UnkleRhaukus
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the absolut value is the length of the vector
3psilon
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So it is just Square root of 36+16?
UnkleRhaukus
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|dw:1350785068730:dw|
3psilon
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or 4 i mean
UnkleRhaukus
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almost
UnkleRhaukus
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the length of z is Square root of 36+16
but we want the length of z-2
UnkleRhaukus
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yeah so how long is z-2?
UnkleRhaukus
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(tha answer is an irrational number )
anonymous
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i am a bit lost
\(z=4-6i\) so \(z-2=2-6i\) pythagoras gives the length
3psilon
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Okay I got cha! Thanks @UnkleRhaukus !
UnkleRhaukus
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what answer did you arrive at?
3psilon
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Root 40
UnkleRhaukus
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good work, can you simplify √40?
3psilon
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2 root 10?
UnkleRhaukus
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good show
3psilon
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:) thx a lot
UnkleRhaukus
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if you can remember the distance formula as
the square root of the sums of the squares of the differences of the corresponding coordinates , thats great, otherwise just draw the picture