CUET UG · Mathematics / Applied Mathematics (Domain)

Three-Dimensional Geometry

Direction cosines, equations of lines and planes, angle between them, shortest distance.

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  • Q1 · Three-Dimensional Geometry · EASY

    The direction cosines of a line are proportional to 2, -3, 6. What are the actual direction cosines of the line?

  • Q2 · Three-Dimensional Geometry · EASY

    The Cartesian equation of a line passing through (1, -2, 3) and parallel to the vector 3i + 2j - k is:

  • Q3 · Three-Dimensional Geometry · HARD

    The equation of the plane passing through the point (2, -1, 3) and perpendicular to the vector 4i + 2j - 3k is:

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