Zaymiey

📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

The vector equation of a line through point A (position vector a) with direction vector b is:

Answer: r = a + lambda*b.

  • A r = b + lambda*a
  • B r = a + lambda*b
  • C r = lambda*(a + b)
  • D r = a*b

Correct answer: B. r = a + lambda*b

Explanation: Vector form of a line: r = a + lambda*b, where a is the position vector of a point on the line and b is the direction vector.

zxyOP (x, y, z)

Three mutually perpendicular axes x, y, z meeting at the origin O, with a point P located by its (x, y, z) coordinates.

Concept context

Lines and planes in 3D space, direction cosines, distances, and angles

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