Consider the following statements : 1. The direction ratios of y-axis can be \langle 0, 4, 0 \rangle 2. The direction ratios of a line <strong>PERPENDICULAR</strong> to z-axis can be \langle 5, 6, 0 \rangle Which of the statements given above is/are correct?
- A. 1 only
- B. 2 only
- C. Both 1 and 2 ✓
- D. Neither 1 nor 2
Correct Answer: C. Both 1 and 2
Explanation
The y-axis has direction ratios proportional to (0, 1, 0), so \langle 0, 4, 0 \rangle is valid (Statement 1 is true). A line perpendicular to the z-axis must have its z-direction ratio as 0, which is satisfied by \langle 5, 6, 0 \rangle (Statement 2 is true). Both statements are correct.
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