If the lines (x - k)/1 = (y - 2)/2 = (z - 3)/3 and (x + 1)/3 = (y + 2)/2 = (z + 3)/1 are co-planar, then the value of k is _ _ _ _ _ _ _.

Three Dimensional Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Jul, Evening shift · Q23

JEE Main 202125 Jul, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If the lines

{{x - k} \over 1} = {{y - 2} \over 2} = {{z - 3} \over 3}

and

{{x + 1} \over 3} = {{y + 2} \over 2} = {{z + 3} \over 1}

are co-planar, then the value of k is _____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 25 Jul, Evening shift · Q23

JEE Main 202125 Jul, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If the lines

{{x - k} \over 1} = {{y - 2} \over 2} = {{z - 3} \over 3}

and

{{x + 1} \over 3} = {{y + 2} \over 2} = {{z + 3} \over 1}

are co-planar, then the value of k is _____________.

Your answerType your answer. Integers and decimals are accepted.