Find the vector equation of the line passing through the point (2, 3, −5) and making equal angles with the co-ordinate axes.

Question

TextDirection Cosines of a LineVector Equation of a Line in Three DimensionsCBSE PYQ

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If the direction cosines of a line are √3 k, √3 k, √3 k, then the value of k is :

Assertion (A) : A line in space cannot be drawn perpendicular to x, y and z axes simultaneously. Reason (R) : For any line making angles, α, β, γ with the positive directions of x, y and z axes respectively, cos² α + cos² β + cos² γ = 1.

Assertion-ReasonThree Dimensional Coordinate System