Question

position vectors of A,B relative to origin are a,b the side BC,CA,AB of a triangle ABC are cut by a line at X,Y,Z show that AZ/ZB×BX/XC×CY/YA =-1​

Answer 1

Answer:

If x is the position vector of B, then a divides AB in the ration 42:3

∴a=2+32x+3(a+2b)

⇒5a−3a−6b=2x⇒x=a−3b