Direction Ratios
Direction ratios of the line joining points (1, 2, 3) and (4, 5, 6) are
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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.
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