If the point A(1,0,-6),B(3,p,q) and C(-5,9,6) are collinear find the value p and q

If the point A(1,0,-6),B(3,p,q) and C(-5,9,6) are collinear find the v

1.	If the point A(1,0,-6),B(3,p,q) and C(-5,9,6) are collinear find the value p and q
Answer» By using distanceAB√(3-1)²+(P-0)²+(q+6)²AB√(2)²+(P)²+(7q)²AB√4+p+49q²AB√4p+49q²AndBC√(-5-1)²+(9-p)²+(6-q)²BC√(6)²+(8p)²+(5q)²BC√36+64p²+25q²BC√(100p²+25q²ForAC√(-5-1)²+(9-0)²+(6+6)²AC√(6)²+(9)²+(12)²AC√36+81+144TheirforeAB+BC+ACIs collinear