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For what vlue of a, vec A = 2 hat i+ a...

For what vlue of a, ` vec A = 2 hat i+ a hat j + hat k`, is perpendicular to ` vec B= 4 hat i-2 hat k`.

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When vectors are perpendicular, their dot product is zero , i.e. ` vec A. vec B=0`
or ` ( 2hat i+ a hat j= hat k). ( 4 aht i-2 hat j-2 aht k) =0`
or ` 8 - 2 a - 2 =0 ` or ` a=3`.
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