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(2i+3J+8k). (4j-4i+ak) =0We find the dot product for perpendicular vectors which is equal to zero.On solving we get -8+12+8a=0Giving, a=-1/2
Last Activity: 4 Years ago
Hello Student
Let a = 2i + 3j + 8k and b = 4i - 4j + ak
As a and b are perpendicular to each other then their Dot product os Zero
=> a . b = 0
=> ( 2i + 3j + 8k ) . ( 4i - 4j + ak ) = 0
=> 2 × 4 + 3 × (-4) + 8 × a = 0
=> 8 - 12 + 8a = 0
=> – 4 + 8a = 0
=> 8a = 4
=> a = 1 / 2
I hope this answer will help you.
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