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The vector vecP=ahati+ahatj+3hatj and ve...

The vector `vecP=ahati+ahatj+3hatj and vecQ=ahati-2hatj-hatk`, are perpendicular to each other. The positive value of a is

A

3

B

2

C

1

D

zero

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Verified by Experts

The correct Answer is:
A
`vecP.vecQ=0rArr(ahati+ahatj+3hatk).(ahati-2hatj-hatk)=0`
`a^(2)-2a-3=0rArr(a-3)(a+1)=0`
`a=3,-1`
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ALLEN-BASIC MATHS-EXERCISE-1
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