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If
r =( i −2 j− k )+λ(2 i+ j+2 k ) is parallel to r .(3−2 j −m k )=14
Then the plane's Normal Vector should be perpendicular to the line
Hence, their dot product will be 0.
⇒(2 i + j +2 k ).(3 i −2 j−m k)=0⇒6−2−2m=0⇒4=2m⇒m=2
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