scitamehtam

[entropic82]

Considering these 2 equations:

x + y + z = 1

x*P1 + y*P2 + z*P3 = C

where  x, y, z refer to the cartesian coordinates

Establish a relationship for P1, P2, P3 such that C will remain a constant.

Any idea how to approach?

Comments

[tekis]

using matrix?

[entropic82]

helloz! What a rare appearance! :P

Matrix is a lil laborous for lazy me. Lol.

I just need 1 solution out of the many possible solutions (if so).

[tekis]

i thought matrix is the easiest? if not try considering Partial derivative?? ahaha

[entropic82]

Hmm. how can partial derivative help?? Enlightenment me. lol

I think I found a solution liao.

Imagine P1 = P2 = P3, then eqn (2) becomes:

(x + y + z)P1 = C

since x + y + z = 1, hence P1 = C

Therefore 1 solution is:

P1 = P2 = P3 = C!

:D

[babychen_]

umm.. i may have forgotten all my maths stuff.. but P1 = P2 = P3 gives u only one case. how about other cases?

btw, are P1 P2 P3 constants or variables?

[entropic82]

hey Alvin, nice to c u! ;)

I was looking at this problem while preparing exam, just need solution with 1 case. P1,2,3 supposed to be constants for me to assign values for.