Question

The Cartestation equation of  line is `(x-6)/2=(y+4)/7=(z-5)/3` find its vector equation.

Answer 1

`(x-6)/2=(y+4)/7=(z-5)/3`

Line is passing through the point (6,–4,5) with dr^s 2, 7, 3

Equation of line in vector form is

`vecr=(6veci-4vecj+5veck)+lambda(2 veci+7 vecj+3vec k)`