Question

Direction ratios of x-axis are:

• A. (0,1,0)
• B. (1,0,0)
• C. (0,0,1)
• D. (1,1,1)

Hint:

To remember: The "1" always stays in the position of the axis named. X-axis is (1,0,0), Y-axis is (0,1,0), and Z-axis is (0,0,1).

Answer 1

The Correct Option is B

The problem requires us to determine the direction ratios of the x-axis from the given options.

Direction ratios are scalar multiples that represent the direction of a vector. For the x-axis in 3D space, a unit vector pointing exactly along the x-axis is (1, 0, 0). This means:

• The vector has a magnitude of 1 in the x-direction.
• The vector has a magnitude of 0 in both the y and z-directions.

Let's evaluate the given options:

1. (0, 1, 0): This vector has a magnitude of 1 in the y-direction and 0 in both x and z-directions, representing the y-axis.
2. (1, 0, 0): This vector has a magnitude of 1 in the x-direction and 0 in both y and z-directions, representing the x-axis.
3. (0, 0, 1): This vector has a magnitude of 1 in the z-direction and 0 in both x and y-directions, representing the z-axis.
4. (1, 1, 1): This vector is a diagonal vector in the 3D space and does not align with any primary axis.

Among these options, the direction ratios of the x-axis are clearly represented by the option (1, 0, 0).

Therefore, the correct answer is: (1, 0, 0).