MathematicsMedium249×since 2002Q2402The line of intersection of the planes r→.(3i^−j^+k^)=1 \overrightarrow r .\left( {3\widehat i - \widehat j + \widehat k} \right) = 1\,\,r.(3i−j+k)=1 and r→.(i^+4j^−2k^)=2,\overrightarrow r .\left( {\widehat i + 4\widehat j - 2\widehat k} \right) = 2,r.(i+4j−2k)=2, is :Ax−47−2=y7=z−5713{{x - {4 \over 7}} \over { - 2}} = {y \over 7} = {{z - {5 \over 7}} \over {13}}−2x−74=7y=13z−75Bx−472=y−7=z+5713{{x - {4 \over 7}} \over 2} = {y \over { - 7}} = {{z + {5 \over 7}} \over {13}}2x−74=−7y=13z+75Cx−6132=y−513−7=z−13{{x - {6 \over {13}}} \over 2} = {{y - {5 \over {13}}} \over { - 7}} = {z \over { - 13}}2x−136=−7y−135=−13zDx−6132=y−5137=z−13{{x - {6 \over {13}}} \over 2} = {{y - {5 \over {13}}} \over 7} = {z \over { - 13}}2x−136=7y−135=−13zCheck answerSkip