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Welcome to our site! Electro Tech is an online community (with over 170,000 members) who enjoy talking about and building electronic circuits, projects and gadgets. To participate you need to register. Registration is free. Click here to register now.
The result from prob 18 is used to show that point P in on line AB regardless of the location of origin O. That is what the paragraph you think is superfluous is about. It shows that the coefficients of of vector r are zero, so the origin can be located anywhere.
By the way, cx=0 is not the same as a1*r1+a2*r2+r3*a3=0 .
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