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Three Dimensional Geometry — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSThree Dimensional Geometry1 Mark
Question
$l = m = n = 1$ represents the direction cosines of:
✓

Answer

Suppose, $l, m, n$ are direction cosines
$\Rightarrow 1^2 + m^2 + n^2 = 1$
But $1 = m = n = 1$
$\Rightarrow 3m^2 = 1$
$\Rightarrow 1 = m = n = \frac{1}{\sqrt3}$​
which are not direction cosines of either of the three co-ordinate axes.

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