AP EAMCET202420 May 2024Morning ShiftMathematicsThree Dimensional GeometryActual

The distance of the point O ( O ) from the plane r ( i + j + k )=5 measured parallel to 2 i +3 j -6 k is

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Correct answer

A. 35

Step-by-step solution

Equation of plane: r ( i + j + k )=5 x+y+z=5 ....(i) A vector parallel to 2 i +3 j -6 k is 2 i +3 j -6 k x=2 , y=3 , z=-6 Put in equation (i), 2 +3 -6 =5 =-5 x=-10, y=-15, z=30 Distance from O( O )= (10)^2+(15)^2+(30)^2 = 1225 =35

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