SOLUTION: Given that the vectors, a and b are non-parallel and (2p -1)a = (q+2)b , find the value of p and of q . the answer paper shows that 2p-1 = 0 and q+2 =0 I have no idea why they

Algebra ->  Vectors -> SOLUTION: Given that the vectors, a and b are non-parallel and (2p -1)a = (q+2)b , find the value of p and of q . the answer paper shows that 2p-1 = 0 and q+2 =0 I have no idea why they      Log On


   



Question 1091550: Given that the vectors, a and b are non-parallel and (2p -1)a = (q+2)b , find the value of p and of q .

the answer paper shows that 2p-1 = 0 and q+2 =0
I have no idea why they are equal to zero ...
I thought it was vector a + vector b equal to zero

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
If two vectors are non-parallel and after multiplication by scalars they become equal,
it may happen in only one case:  if the scalar multipliers both are equal to 0 (ZERO).


So, 2p-1 = 0, which implies p = 1%2F2,

and q+2 = 0, which implies q = -2.

Solved.