Question

Using determinant method show that the point A (2,5) B (5,7)and C (8,9) are colliniar

Answer 1

Answer:

in this problem we have to use the formula

|a11 b12 c13|

|a21 b22 c23|=0

|a31 b32 c33|

by using this formula we can get that.

|2 5 1|

|5 7 1|=0

|8 9 1|

Now using the formula

(a11((b22*c33)-(c23*b32)))-(b12((a21*c33)-(c23*a31)))+(c13((a21*b32)-(b22*a31)))=0

so we get,

(2(7-9))-(5(5-8))+(1(45-56))=0

now,

(-4)-(-15)+(-11)

15-15=0

this shows that area of the triangle with side A,B,C area is 0 so it is collinear.

Hope that you like it.

Answer 2

Answer:

Step-by-step explanation: