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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoordinates of a point in space, Direction cosines,Easy2 minPYQ_2019

MathematicsEasysingle choice

Which of the following can not be the direction cosines of a line?

Options:

Answer:

Solution:

We know that, $l^{2} + m^{2} + n^{2} = 1$
Since, ${(\frac{1}{\sqrt{2}})}^{2} + {(\frac{- 1}{\sqrt{2}})}^{2} + {(\frac{- 1}{\sqrt{2}})}^{2}$
$= \frac{1}{2} + \frac{1}{2} + \frac{1}{2} = \frac{3}{2} \neq 1$

Stream:MHT_CETSubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Coordinates of a point in space, Direction cosines,

⏱ 2mℹ️ Source: PYQ_2019

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