Write 3 Scalar Eqns + System of 3 Linear Eqns for r,s,t

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The discussion focuses on converting a vector equation into three scalar equations for the parameters r, s, and t. Participants clarify that the equation is already balanced, meaning the coefficients of i, j, and k can be separated into individual equations. The key point is that each component (i, j, k) must be treated as a separate equation to maintain equality. To form these equations, one participant suggests isolating the i, j, and k components from the original equation. The conversation emphasizes the necessity of ensuring that all three component equations hold true simultaneously.
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-3i-j+5k = t (root34/102 (11i-13j+4k))-s(-j-k)+r(2i+2j+k)

how do i write this eqn as 3 scalar equations and a system of three linear eqns for the three parameters r,s, and t.

PLEASE HELP...
 
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hi ronho1234! :smile:
ronho1234 said:
how do i write this eqn as 3 scalar equations and a system of three linear eqns for the three parameters r,s, and t.

all the coefficients of i have to balance, also j and k …

those are your three equations :wink:​
 
does that mean i get three separate equations each with the three variables... but how do i balance them like you said?...
 
ronho1234 said:
does that mean i get three separate equations each with the three variables

yes! :smile:

(and they're already balanced … write it out and see :wink:)
 
tiny-tim said:
yes! :smile:

(and they're already balanced … write it out and see :wink:)

Hey tiny-tim, what do you mean by it is already balanced. How do i form 3 equations using that relationship? Do I just make i, j, k the subject?
 
hey kihakuu! :smile:

this is a vector equation, so all three component equations have to be true :wink:

for example, the "i" components equation for -3i-j+5k = t (root34/102 (11i-13j+4k))-s(-j-k)+r(2i+2j+k)

would be -3i = t (root34/102 (11i)+r(2i) :wink:
 

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