(a) Find the equations of the diagonals of the parallelogram PQRS whose vertices are P(4,2,−6),Q(5,−3,1),R(12,4,5) and S(11,9,−2). Use these equations to find the point of intersection of diagonals.

OR
(b) A line l passes through point (−1,3,−2) and is perpendicular to both the lines ‌

x

1

=‌

y

2

=‌

z

3

and ‌

x+2

−3

=‌

y−1

2

=‌

z+1

5

. Find the vector equation of the line l. Hence, obtain its distance from origin.