Three Dimensional Geometry Part 1

Normal vector of plane containing two intersecting lines is parallel to vector.
(

→

V1

) = |

^ i	^ j	^ k
3	0	1
−3	2	−1

| = −2

^

i

+6

^

k

∴ Requiredline is parallel to vector
(

→

V2

) = |

^ i	^ j	^ k
1	2	−1
−2	0	6

| = 3

^

i

−

^

j

+

^

k

⇒ Required equation of line is

x+4

3

=

y−3

−1

=

z−1

1