Ordering Vectors by Magnitude: BACDE

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SUMMARY

The discussion centers on ordering five vectors by their magnitudes using the formula for magnitude: sqrt(i² + j² + k²). The vectors provided are A) 23i - 31j - 17k, B) 36j + 26k, C) 43j, D) 20i - 34j - 20k, and E) 30i + 30j. The correct order of increasing magnitudes is BACDE, with magnitudes calculated as follows: A = 42.178, B = 44.407, C = 43, D = 44.226, and E = 42.426. The confusion arose from an incorrect ranking attempt of AECDB, which does not reflect the accurate magnitudes.

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Homework Statement



Five vectors are listed below. Select them in order of increasing magnitudes, from shortest to longest. If B is smallest, then A, C, D, and finally E is the largest, enter BACDE (Note: If of equal length, then enter in the order listed.)
A) 23i-31j-17k
B) 36j+26k
C) 43j
D) 20i-34j-20k
E) 30i+30j


Homework Equations



magnitude = sqrt (i^2 + j^2 + k^2)

The Attempt at a Solution



I found:

A = 42.178

B= 44.407

C = 43

D = 44.226

E 42.426

I ranked: AECDB or even follow the order list: AECBD => It's showing wrong?

Could anyone explain what's going on? I'm really confused because I think I'm doing the right way!

Thanks!
 
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As i see you squared the coordinates and took the root of their sum. Well that's the right way. probably some computation error. but the method is correct.
 
Anyone has different ideas?
 

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