What is the parametric equation of line passing through P(2,0,1) and Q(3,4,-2)?

1 Answer
Mar 16, 2017

Parametric equation of line PQ is
x=2+3t,
y=4t and
z=1-2t

Explanation:

If A(x_1,y_1,z_1) and B(x_2,y_2,z_2) are two points,

parametric equation of line AB is

x=x_1+tx_2, y=y_1+ty_2 and z=z_1+tz_2

Here as we have P(2,0,1) and Q(3,4,-2) as two points,

parametric equation of line PQ is

x=2+3t, y=0+4t and z=1-2t i.e.

x=2+3t, y=4t and z=1-2t