if |A| + |B| = |A+B| then angle between A and B is?
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OpenStudy (anonymous):
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OpenStudy (anonymous):
it is 0 degree or they are in the same direction and are on the same line.
Parth (parthkohli):
I thought it was \(180^{\circ}\)?
OpenStudy (anonymous):
It should not be 180..
terenzreignz (terenzreignz):
That would mean one is on the same line but going in the opposite direction.
That certainly wouldn't make
|A| + |B| = |A + B| true
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Parth (parthkohli):
Hmm, can you explain more?
OpenStudy (anonymous):
NO...
Ha ha ha ha...
terenzreignz (terenzreignz):
Drawing, anyone? :D
Here are two vectors with a 180 degree angle between them
|dw:1365770870377:dw|
Parth (parthkohli):
Is it not 180 degrees? :-|
terenzreignz (terenzreignz):
The sums of the magnitudes of these vectors would be represented by the length of this line... but the magnitude of their sum, which is roughly this vector...|dw:1365770950036:dw|
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terenzreignz (terenzreignz):
Is smaller :D
Parth (parthkohli):
OK, thank you :-)
Parth (parthkohli):
|dw:1365771103916:dw|
terenzreignz (terenzreignz):
Oh look^
Doesn't that look nicer? :D
Parth (parthkohli):
Is it that one?
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terenzreignz (terenzreignz):
Yeah, and maybe it's apparent that the sum of their magnitudes is the magnitude of their sum.