Question
Find the scalar components of a unit vector which is perpendicular to the vectors
Solution
Let ...(1)
be the unit vector which is perpendicular to the vectors
...(2)
...(3)
...(4)
Multiplying (3) by 1 and (4) by 2, we get,
x + 2y – z = 0
6x – 2y + 4z = 0
Adding,
Multiplying (3) by 2 and (4) by 1, we get,
2x + 4y – 2z = 0
3x – y + 2z = 0
Adding,
Putting