Question

using DETERMINANTS show that the following points are collInear A(3,7) B(4,-3) C(5,-13)

Answer 1

AB= (4-3)i + (-3-7)j

= 1i -10j

Similarly

BC= (5-4)i + (-13+3)j

= 1i - 10j

as AB=BC for some value of λ here = 1

( two points will be collinear when A= λB)

since AB = 1(BC)

SO THE POINTS ARE COLLINEAR

PROVED.