If the vectors ( 2  ^ − q  ^ + 3 k ^ ) and ( 4  ^ − 5  ^ + 6 k ^ ) are collinear, then the value of q is

Given vector are collinear ∴ 4 2 = − 5 − q = 6 3 ∴ q = 2 5

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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoordinates of a point in space, Direction cosines,Easy2 minPYQ_2020

MathematicsEasysingle choice

If the vectors $(2 \overset{}{^} - q \overset{}{^} + 3 \hat{k})$ and $(4 \overset{}{^} - 5 \overset{}{^} + 6 \hat{k})$ are collinear, then the value of $q$ is

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Given vector are collinear $∴ \frac{2}{4} = \frac{- q}{- 5} = \frac{3}{6} ∴ q = \frac{5}{2}$

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

⏱ 2mℹ️ Source: PYQ_2020

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