A line passes through the points (6,-7,-1) and (2,-3,1) . The direction cosines of the…

Mathematics · JEE Main · NTA ExamsThree Dimensional Geometry

A line passes through the points \((6,-7,-1)\) and \((2,-3,1)\). The direction cosines of the line, so directed that the angle made by it with the positive direction of \(\mathbf{x}-\)axis is acute, are :
  1. \(\frac{2}{3},-\frac{2}{3},-\frac{1}{3}\)
  2. \(-\frac{2}{3}, \frac{2}{3}, \frac{1}{3}\)
  3. \(\frac{2}{3},-\frac{2}{3}, \frac{1}{3}\)
  4. \(\frac{2}{3}, \frac{2}{3}, \frac{1}{3}\)

Answer

(A) 2 3 ,- 2 3 ,- 1 3

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