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Question

If line r=(^i2^j^k)+λ(2^i+^j+2^k) is parallel to the plane r.(3^32^jm^k)=14, then the value of m is

A
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C
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Solution

The correct option is A 2
If r=(^i2^j^k)+λ(2^i+^j+2^k) is parallel to r.(3^i2^jm^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^i2^jm^k)=0622m=04=2mm=2

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