Question

If p=(2/-1),q=(1/3)and r=(5/-6) find m and n such that r=mp+np where m and n are scalars of the vectors p and q?​

Answer 1

To find the values of m and n that satisfy the equation r = mp + np, we can set up a system of equations and solve for m and n.

Step-by-step explanation:

To find the values of m and n that satisfy the equation r = mp + np, where p = (2, -1), q = (1, 3), and r = (5, -6), we can set up a system of equations.

Using the values of r, p, and q, we can write:

(5, -6) = m(2, -1) + n(1, 3)

Expanding this equation gives us two equations:

5 = 2m + n

-6 = -m + 3n

Solving this system of equations, we can find the values of m and n.