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

[ronho1234]

-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...

 

[tiny-tim]

hi ronho1234!

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 ​

 

[ronho1234]

does that mean i get three separate equations each with the three variables... but how do i balance them like you said?...

 

[tiny-tim]

does that mean i get three separate equations each with the three variables

yes!

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

 

[kihakuu]

yes!

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

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?

 

[tiny-tim]

hey kihakuu!

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

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)