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Mathematics 19 Online
OpenStudy (anonymous):

if |A| + |B| = |A+B| then angle between A and B is?

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

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|

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?

terenzreignz (terenzreignz):

Yeah, and maybe it's apparent that the sum of their magnitudes is the magnitude of their sum.

Parth (parthkohli):

Haha, indeed.

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