The unit vector perpendicular to the vectors 6 i ^ + 2 j ^ + 3 k ^ and 3 i ^ − 6 j ^ − 2 k ^ is −

Unit vector perpendicular to both the given vectors is, ∣ ( 6 i ^ + 2 j ^ + 3 k ^ ) × ( 3 i ^ − 6 j ^ − 2 k ^ ) ∣ ( 6 i ^ + 2 j ^ + 3 k ^ ) × ( 3 i ^ − 6 j ^ − 2 k ^ ) = 7 2 i ^ + 3 j ^ − 6 k ^

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MathematicsVectorDot Product & Its Application ( Projection etc.)Easy2 minPYQ_2012

MathematicsEasysingle choice

The unit vector perpendicular to the vectors $6 \hat{i} + 2 \hat{j} + 3 \hat{k}$ and $3 \hat{i} - 6 \hat{j} - 2 \hat{k}$ is $-$

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Answer:

Solution:

Unit vector perpendicular to both the given vectors is, $\frac{( 6 i ^ + 2 j ^ + 3 k ^ ) \times ( 3 i ^ - 6 j ^ - 2 k ^ )}{∣ ( 6 i ^ + 2 j ^ + 3 k ^ ) \times ( 3 i ^ - 6 j ^ - 2 k ^ ) ∣} = \frac{2 i ^ + 3 j ^ - 6 k ^}{7}$

Stream:BITSATSubject:MathematicsTopic:VectorSubtopic:Dot Product & Its Application ( Projection etc.)

⏱ 2mℹ️ Source: PYQ_2012

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