Associative Operation with Four Vectors: Is it True?

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The discussion centers on the validity of an associative operation involving four vectors, specifically questioning the equation 2*(p+p_1)p_3(p+p_1)p_2 - (p_3)(p_2)(p+p_1)^2 = (p_3)(p_2)(p+p_1)^2. Participants express confusion over the multiplication order and suggest using LaTeX for clarity. An attachment is provided to illustrate the problem further. The main focus is on determining whether the operation is associative. The conversation highlights the complexities involved in vector operations and the need for clear mathematical representation.
bgy
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hi,

Is it true that

2*(p+p_1)p_3(p+p_1)p_2 - (p_3)(p_2)(p+p_1)^2 = (p_3)(p_2)(p+p_1)^2 ,

where p,p_1,p_2,p_3 are four vectors? Or simply: associative this operation?
 
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cant quite figure out what u are multiplying by what
why don't u try using latex format
 
esalihm said:
cant quite figure out what u are multiplying by what
why don't u try using latex format

ok. See the attachment.
 

Attachments

Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
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Thread 'Correct statement about a reservoir with an outlet pipe'

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The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
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