Question
Let 
Find a vector 
which is perpendicular to both 
and 
Solution
Here 
Let 
Since 
is perpendicular to 
and 3d2 – d3 = 0 ...(2)
Also, 
...(3)
Multiplying (1) by 3 and (2) by 1, we get,
3d1 – 3d2 = 0
3d2 – d3 = 0
Adding, 3d1 – d3 = 0 ...(4)
Subtracting (4) from (3), we get,
From (1), 
From (2), 
