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
Let be three vectors of magnitude 5, 3, 1 respectively. If each one is perpendicular to the sum of other two vectors, prove that
If are mutually perpendicular vectors of equal magnitude, show that they are equally inclined to the vector