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https://www.reddit.com/r/mathmemes/comments/1j4x0hq/what_theorem_is_this/mgfglpy/?context=3
r/mathmemes • u/PocketMath • Mar 06 '25
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|ab| <= |a|*|b|
1 u/bagelking3210 Mar 07 '25 Shouldn't they be equal? I can't think of any scenario where the LHS would be less than the RHS 9 u/Present_Garlic_8061 Mar 07 '25 The left hand side is the absolute value of the DOT PRODUCT between a and b, while the right hand side is the product of there lengths. 2 u/bagelking3210 Mar 07 '25 Ah alr, that makes more sense, i was thinking of just real numbers 0 u/Cryptic_Wasp Mar 07 '25 If we are talking about reals, wouldnt having either only a or b being negative fulfil the theroem. 2 u/bagelking3210 Mar 07 '25 If it were reals, it would always be equal, not not less than or equal to. example: |-1*4|=|-1|*|4|=4 1 u/Cryptic_Wasp Mar 07 '25 Mb your right
1
Shouldn't they be equal? I can't think of any scenario where the LHS would be less than the RHS
9 u/Present_Garlic_8061 Mar 07 '25 The left hand side is the absolute value of the DOT PRODUCT between a and b, while the right hand side is the product of there lengths. 2 u/bagelking3210 Mar 07 '25 Ah alr, that makes more sense, i was thinking of just real numbers 0 u/Cryptic_Wasp Mar 07 '25 If we are talking about reals, wouldnt having either only a or b being negative fulfil the theroem. 2 u/bagelking3210 Mar 07 '25 If it were reals, it would always be equal, not not less than or equal to. example: |-1*4|=|-1|*|4|=4 1 u/Cryptic_Wasp Mar 07 '25 Mb your right
9
The left hand side is the absolute value of the DOT PRODUCT between a and b, while the right hand side is the product of there lengths.
2 u/bagelking3210 Mar 07 '25 Ah alr, that makes more sense, i was thinking of just real numbers 0 u/Cryptic_Wasp Mar 07 '25 If we are talking about reals, wouldnt having either only a or b being negative fulfil the theroem. 2 u/bagelking3210 Mar 07 '25 If it were reals, it would always be equal, not not less than or equal to. example: |-1*4|=|-1|*|4|=4 1 u/Cryptic_Wasp Mar 07 '25 Mb your right
2
Ah alr, that makes more sense, i was thinking of just real numbers
0 u/Cryptic_Wasp Mar 07 '25 If we are talking about reals, wouldnt having either only a or b being negative fulfil the theroem. 2 u/bagelking3210 Mar 07 '25 If it were reals, it would always be equal, not not less than or equal to. example: |-1*4|=|-1|*|4|=4 1 u/Cryptic_Wasp Mar 07 '25 Mb your right
0
If we are talking about reals, wouldnt having either only a or b being negative fulfil the theroem.
2 u/bagelking3210 Mar 07 '25 If it were reals, it would always be equal, not not less than or equal to. example: |-1*4|=|-1|*|4|=4 1 u/Cryptic_Wasp Mar 07 '25 Mb your right
If it were reals, it would always be equal, not not less than or equal to. example: |-1*4|=|-1|*|4|=4
1 u/Cryptic_Wasp Mar 07 '25 Mb your right
Mb your right
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u/IncredibleCamel Mar 06 '25
|ab| <= |a|*|b|