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Introduction To 3D Coordinate Geometry — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSIntroduction To 3D Coordinate Geometry2 Marks
Question
Using section formula, show that the points A(2, -3, 4), B(-1, 2, 1) and $\text{C}\Big(0, \frac{1}{3}, 2\Big)$ are collinear.
✓

Answer

A(2, -3, 4), B(-1, 2, 1) and $\text{C}\Big(0, \frac{1}{3}, 2\Big)$
DR's of AB are (3, -5, 3)
DR's of BC are $\Big(-1, \frac{5}{3},-1\Big)$
DR's of AC are $\Big(2, \frac{-10}{3},2\Big)$
Its clear that all DR's are proportional.

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