The position vector of a point that divides the line segment joining P ≡ ( 1 , 2 , − 1 ) and Q ≡ ( − 1 , 1 , 1 ) externally in the ratio 1 : 2 , is

Using section formula for external division ( 1 − 2 1 × ( − 1 ) − 2 × 1 , 1 − 2 1 × 1 − 2 × 2 , 1 − 2 1 × 1 − 2 × ( − 1 ) ) ≡ ( 3 , 3 , − 3 ) ≡ 3 i ^ + 3 j ^ − 3 k ^

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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoordinates of a point in space, Direction cosines,Easy2 minPYQ_2022

MathematicsEasysingle choice

The position vector of a point that divides the line segment joining $P \equiv (1, 2, - 1)$ and $Q \equiv (- 1, 1, 1)$ externally in the ratio $1 : 2$ , is

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Using section formula for external division $(\frac{1 \times ( - 1 ) - 2 \times 1}{1 - 2}, \frac{1 \times 1 - 2 \times 2}{1 - 2}, \frac{1 \times 1 - 2 \times ( - 1 )}{1 - 2}) \equiv (3, 3, - 3) \equiv 3 \hat{i} + 3 \hat{j} - 3 \hat{k}$

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

⏱ 2mℹ️ Source: PYQ_2022

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