Question

Determine m para que A(2,-3), B(-6,5) e C (m,-5) sejam colicares.

Answer 1

$\left|\begin{array}{cccc}2&-6&m&2\\\\-3&5&-5&-3\end{array}\right|=0$

|2.5 -6.(-5) + m.(-3) - (-3)(-6) - (5.m) - (-5).2| = 0

|10 + 30 - 3m - 18 - 5m + 10 | = 0

| -8m + 32 | = 0

-8m + 32 = 0

-8m = -32

8m = 32

m = 32/8

m = 4