Question

Perspective view of an object is shown. The object is rotated with respect to the fixed coordinate system as indicated:
90 degrees clockwise about x-axis, 90 degrees anti clockwise about y-axis, 90 degrees anticlockwise about z-axis. All rotations are when viewed from a point on the positive axis towards the origin. Which one of the following perspective view options will be the result of the rotations?

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is A

The task requires understanding of the 3D rotations about coordinate axes, which are performed in sequence as specified: first about the x-axis, then the y-axis, and finally about the z-axis. We must interpret these rotations based on the perspective views provided in the options to determine the correct transformed view.

Step-by-step solution:

• Initial setup: Assume the object is aligned with the initial perspective view of the 3D coordinate system.
• First rotation: Rotate the object 90 degrees clockwise about the x-axis. When viewed from the positive x-axis toward the origin, a clockwise rotation will swap the positions of the positive y and z directions, resulting in the z-axis pointing upwards and the y-axis pointing backward.
• Second rotation: Rotate the resulting configuration 90 degrees anticlockwise about the y-axis. Anticlockwise means when looking from positive y toward the origin. This rotation will now bring the x-axis into the position previously occupied by the z-axis pointing upwards.
• Final rotation: Rotate the object 90 degrees anticlockwise about the z-axis. Anticlockwise when viewed from positive z-axis will effectively reorient the object such that the x-axis points horizontally in the negative horizontal direction, and the y-axis points vertically upwards.
• Comparing the resulting orientation with the given options, the configuration matches the image source ID 6716221b8f5c17af28c8936d.

The above illustrated option is the resultant view after the three specified rotations, based on logical interpretation of the axis transformations.