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Mathematics - Vector Question with Solution | TestHub

MathematicsVectorMiscellaneous/MixedMedium2 minQB

MathematicsMediuminteger

Find the shortest distance between the $z$ -axis and the line of intersection $x + y + 2 z - 3 = 0 =$ $2 x + 3 y + 4 z - 4$ .

Answer:

Solution:

A plane through the given line is (x+y+2z-3)+lambda(2x+3y+4z-4)=0. For it to be parallel to the z-axis, 2+4lambda=0, so lambda=-1/2 and the plane is y+2=0. Its distance from the z-axis is 2.

Stream:JEESubject:MathematicsTopic:VectorSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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