Direction Ratios
Easymathematics
Direction ratios of the line joining points (1, 2, 3) and (4, 5, 6) are
Select the correct option:
Solution
Incorrect! Answer:
3, 3, 3
- Formula: Direction ratios (a,b,c) of a line joining two points P(x1,y1,z1) and Q(x2,y2,z2) are proportional to the differences: (x2−x1),(y2−y1),(z2−z1).
- Substitution: Given points (1,2,3) and (4,5,6):
- a=4−1=3
- b=5−2=3
- c=6−3=3
- Result: The direction ratios are (3,3,3). Any set proportional to (1,1,1) would also be valid direction ratios for this line.
🔒 Solution Hidden from View
Submit your answer to unlock the detailed step-by-step solution.
About This Question
- Subject
- mathematics
- Chapter
- three dimensional geometry
- Topic
- direction ratios
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
3, 3, 3
- Formula: Direction ratios (a,b,c) of a line joining two points P(x1,y1,z1) and Q(x2,y2,z2) are proportional to the differences: (x2−x1),(y2−y1),(z2−z1).
- Substitution: Given points (1,2,3) and (4,5,6):
- a=4−1=3
- b=5−2=3
- c=6−3=3
- Result: The direction ratios are (3,3,3). Any set proportional to (1,1,1) would also be valid direction ratios for this line.
This easy difficulty mathematics question is from the chapter three dimensional geometry, covering the topic of direction ratios. It appeared in the 2025 exam.
Looking for more practice? Explore all mathematics questions or browse three dimensional geometry questions on RankGuru.