# Homework Help: Scalar eqns

1. Apr 28, 2012

### 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.

2. Apr 29, 2012

### tiny-tim

hi ronho1234!
all the coefficients of i have to balance, also j and k …

3. Apr 29, 2012

### ronho1234

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

4. Apr 29, 2012

### tiny-tim

yes!

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

5. Apr 30, 2012

### kihakuu

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?

6. May 1, 2012

### 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)