Suppose a line is given by the system of equations

Question

Suppose a line is given by the system of equations

x=4−5t,

y=4t−5,

z=−3−4t.

Then the vector and point that were used to define this line were

v^- =

p =

Answer 1

x=4−5t,

y=4t−5,

z=−3−4t.

The directing vector of the line is u = < -5 , 4, -4 >

For t = 0 gives us the point P ( 4, -5, -3 )