I'm doing my assignment which has a notation like this: P_1=(x,y,z) in bbbR^3:|x|<=1,|y|<=1,|z|<=1

PoentWeptgj 2022-07-22 Answered
Help me with my assignment which has a notation like this: P 1 = ( x , y , z )     R 3 :   | x |   1 ,   | y |   1 ,   | z |   1 . At first I thought | x |   =   x 1 2 + x 2 2 + x 3 2 , which is the magnitude of 3D vector x. I read in many sources saying there's no absolute value for a vector, there's only | | x | |   =   x 1 2 + x 2 2 + x 3 2 . So I want to ask if what |x| actually is and how its formula looks like?
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Answers (1)

kartonaun
Answered 2022-07-23 Author has 14 answers
Since P 1 R 3 and P 1 = ( x , y , z ), x, y, and z are real numbers, rather than elements of R 3 . So, saying that x is just the absolute value of x makes sense.

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