Question:
The direction cosines of any normal to the xy-plane are
The direction cosines of any normal to the xy-plane are
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The direction cosines of any normal to the xy-plane are
Updated On: Apr 15, 2026
- 1, 0, 0
- 0, 1, 0
- 1, 1, 0
- 0, 0, 1
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The Correct Option is D
Solution and Explanation
Step 1: Concept
The equation of the $xy$-plane is $z = 0$.
Step 2: Analysis
The coefficients of $x, y, z$ in the plane equation represent the direction ratios of the normal.
Step 3: Evaluation
Normal ratios are $0, 0, 1$.
Step 4: Conclusion
The direction cosines (since magnitude is 1) are $0, 0, 1$.
Final Answer: (d)
The equation of the $xy$-plane is $z = 0$.
Step 2: Analysis
The coefficients of $x, y, z$ in the plane equation represent the direction ratios of the normal.
Step 3: Evaluation
Normal ratios are $0, 0, 1$.
Step 4: Conclusion
The direction cosines (since magnitude is 1) are $0, 0, 1$.
Final Answer: (d)
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