Find the scalars m and n such that mp plus nq equals 14i plus 13j.p is 3i equals 3j and q is 4i plus 7j

1 answer

what does p is 3i equals 3j mean?
I'll go with
p = 3i+3j
q = 4i+7j
So, you want to find m and n such that
m(3i+3j) + n(4i+7j) = 14i+13j
that is,
3m+4n = 14
3m+7n = 13
Now just solve for m and n.
If I got p wrong, fix it and then follow the same steps.