# If the Cartesian equations of a line are (3-x)/5=(y+4)/7=(2z-6)/4 , write the vector equation for the line. - Mathematics

If the Cartesian equations of a line are  (3-x)/5=(y+4)/7=(2z-6)/4 , write the vector equation for the line.

#### Solution

The equation can be rewritten as :

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

Hence the vector equation of the line is

vecr=3hati-4hatj+3hatk+lamda(-5hati+7hatj+2hatk)

Concept: Equation of a Line in Space
Is there an error in this question or solution?