The co-ordinates of the P ≡ ( 1 , 2 , 3 ) and O ≡ ( 0 , 0 , 0 ) , then the direction cosines of OP are

We have O ≡ ( 0 , 0 , 0 ) and P ≡ ( 1 , 2 , 3 ) Hence direction ratio OP are 1 2 + 2 2 + 3 2 1 − 0 , 1 2 + 2 2 + 3 2 2 − 0 , 1 2 + 2 2 + 3 2 3 − 0 = 14 1 , 14 2 , 14 3

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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoordinates of a point in space, Direction cosines,Easy2 minPYQ_2021

MathematicsEasysingle choice

The co-ordinates of the $P \equiv (1, 2, 3)$ and $O \equiv (0, 0, 0)$ , then the direction cosines of $\overline{OP}$ are

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Solution:

We have $O \equiv (0, 0, 0)$ and $P \equiv (1, 2, 3)$ Hence direction ratio $\overline{OP}$ are $\frac{1 - 0}{1 ^{2} + 2 ^{2} + 3 ^{2}}, \frac{2 - 0}{1 ^{2} + 2 ^{2} + 3 ^{2}}, \frac{3 - 0}{1 ^{2} + 2 ^{2} + 3 ^{2}} = \frac{1}{14}, \frac{2}{14}, \frac{3}{14}$

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

⏱ 2mℹ️ Source: PYQ_2021

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