ok i need a little help for my multivariable calc class. we have this assignment, and i cant figure out this one problem for the life of me. we are doing vectors.
the problem:
write c in the form ra + sb, where r and s are scalars.
a = 3i + 2j, b = 8i + 5j, c = 7i + 9j
now basically i have to set
c = ra + sb
or
7i + 9j = r(3i + 2j) + s(8i + 5j)
and find the actual value of r and s but i just dont know how to go about it, ive been trying to do it with trial and error but nothing has worked so far. is there a special way i should go about this or manipulate it to make it work?. anyone have any tips?
the problem:
write c in the form ra + sb, where r and s are scalars.
a = 3i + 2j, b = 8i + 5j, c = 7i + 9j
now basically i have to set
c = ra + sb
or
7i + 9j = r(3i + 2j) + s(8i + 5j)
and find the actual value of r and s but i just dont know how to go about it, ive been trying to do it with trial and error but nothing has worked so far. is there a special way i should go about this or manipulate it to make it work?. anyone have any tips?