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Vector image on another vector

by baby_1
Tags: image, vector
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baby_1
#1
Mar1-13, 06:04 AM
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P: 77
Hello
I want to demonstrate a equation of Vector image on another vector (A on B)

So i go this steps

and as we know

so change the equation

but in my equation A is (vector scale) not a (Vector)!!!!
what is my problem?
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HallsofIvy
#2
Mar1-13, 06:58 AM
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Thanks
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You have [itex]\overline{A}[/itex], [itex]A[/itex], and [itex]\left|\overline{A}\right|[/itex]. I understand that [itex]\overline{A}[/itex] is a vector and that [itex]\left|\overline{A}\right|[/itex] is its length but what is [itex]A[/itex]?
baby_1
#3
Mar1-13, 07:11 AM
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P: 77
Thanks for your replay
A and |A| both of them are length of A vector (in electromagnetic books we assume that A=|A| for easy to write)

pwsnafu
#4
Mar1-13, 07:23 AM
Sci Advisor
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Vector image on another vector

Then pick one and stick with it. Similarly, don't swap between upper and lower case.
baby_1
#5
Mar1-13, 08:05 AM
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P: 77
I rewrite the Steps.
main formula:


steps:

as we know

and

so


but in my equation |A| is (vector length) not a (Vector)!!!!
what is my problem?
Ratch
#6
Mar2-13, 11:11 PM
P: 315
Oh Baby,

What are you doing? You are taking the dot product of vector A and vector B which results in a scalar. Then you are taking the dot product of that scalar with vector B. That makes no sense.

I think you want the dot product of vector A and vector B/|B|. B/|B| is the unit vector in the B direction.

Ratch
baby_1
#7
Mar3-13, 11:23 PM
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P: 77
Thanks friends
i found my probelm
Image of Vector of A on B is a Vector and we should define the direct of it when write the image equation


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