Question

(a) Find symmetric equations for the line that passes through the point

(5, −5, 6)

and is parallel to the vector

−1, 3, −2

.

−(x − 5) = 3(y + 5) = −2(z − 6).

x + 5 =

y + 5

3

=

z − 6

−2

.    

x − 5

−1

=

y + 5

3

=

z − 6

−2

.

x + 5

−1

=

y − 5

3

=

z + 6

−2

.

−(x + 5) = 3(y − 5) = −2(z + 6).

(b) Find the points in which the required line in part (a) intersects the coordinate planes.
point of intersection with xy-plane     

  

point of intersection with yz-plane     

  

point of intersection with xz-plane     

  

Answer 1

Using rule of coordinate geometry we solve the given problem.