If a (1,2,3) b (2,3,4) c (p,q,6) are the collinear points find p and q?

1 Answer
Jul 1, 2018

p=4, q=5.

Explanation:

If A(1,2,3), B(2,3,4) and C(p,q,6) are collinear, then, the

vectors vec(AB) and vec(AC) must have same/opposite direction.

In the event, EE" a "lambda in RR-{0}," such that, "vec(AC)=lambdavec(AB).

:. (p,q,6)-(1,2,3)=lambda(2-1,3-2,4-3), lambda in RR-{0},

i.e., (p-1,q-2,3)=(lambda,lambda,lambda).

Consequently, lambda=3 in RR-{0}, q=2+lambda=5, p=4.

Thus, p=4, q=5, are the desired values!

Enjoy Maths.!