#What does this statement mean?

42 messages · Page 1 of 1 (latest)

topaz kernel
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a and b are two separate vectors

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for the sake of explaining lets imagine the vector a is one unit right in the x axis and vector b is one unit up in the y axis

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if pa + qb = ra + sb

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then they both have the same change in y and axis

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so the coefficient of each vector has to be the same

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idk if that makes sense

edgy stratus
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I'm guessing he's getting confused on the non parallel vectors bit

edgy stratus
topaz kernel
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yes the vector a + b

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but the vector a is non parallel to b

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thats what theyre saying

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they arent parallel idk how else to put it

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because they said so

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if they were parallel then the statement they made isnt always true

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wdym by that

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sorry i dont understand your question

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tell me again what is confusing you

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the vector a and b are totally made up

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they could be anythin

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with one condition

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a and b are not parallel

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they could be equal in size

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its the direction that isnt the same

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or gradient

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idk how to explain it

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they said pa + qb yeah

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so thats saying

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p amounts of a

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and q amounts of b

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right

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so if they say thats equal to ra + sb

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then p has to equal a and s has to equal q

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yes

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i think you would benefit from looking at it on a graph

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hold on

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i chose to let a and b equal that

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it could be anything with the only condition being that they are not parallel

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nice one 🫡

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exactly

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ra + sb and pa + qb are very much parallel

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they are rhe same thing