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If a vector (2hati+3hatj+ 8hatk) is perp...

If a vector `(2hati+3hatj+ 8hatk)` is perpendicular to the vector `(4hatj-4hati+alpha hatk)`, then find the value of `alpha` is

A

-1

B

`1//2`

C

`-1//2`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
`(2hati+3hatj+8hatk).(4hatj-4hati+alpha hatk)=0`
`-8-12+8alpha=0rArralpha=(+4)/(8)=(+1)/(2)`
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ALLEN-BASIC MATHS-EXERCISE-1
  1. The direction of the angular velocity vector is along

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  2. What is the projection of 3hati+3hatj+8hatk) is perpendicular to the v...

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  3. If a vector (2hati+3hatj+ 8hatk) is perpendicular to the vector (4hatj...

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  4. Square of the resultant of two forces of equal magnitude is equal to t...

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  5. The vector vecA and vecB are such that |vecA+vecB|=|vecA-vecB|. The an...

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  6. If |hatAxxvecB|=sqrt(3)vecA,vecB, then the value of |vecA+vecB| is :

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  7. if|vecAxxvecB|=|vecA.vecB|, then angle between vecA and vecB will be

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  8. A unit radial vector vecr makes agles of a=30^(@) relative to the x-ax...

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  9. If hati,hatj and hatk represent unit vectors along the x,y and z-axes ...

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  10. Find the torque (vectau=vecrxxvecF) of a force vecF=-3hati+hatj+3hatk ...

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  11. Six vector vec(a) through vec(f) have the magnitudes and direction ind...

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  12. If vectors vecA and vecB are such that |vecA+vecB|= |vecA|= |vecB| the...

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  13. If hati,hatj and hatk are unit vectors along X,Y & Z axis respectively...

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  14. Two vectors vecP and vecQ that are perpendicular to each other are ...

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  15. The magnitude of the vector product of two vectors vecA and vecB may n...

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  16. If vecPxxvecQ=vecR, then which of the following statements is not true...

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  17. The vector vecB=5hati+2hatj-Shatk is perpendicular to the vector vecA=...

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  18. Electro motive force (EMF) is :

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  19. A physical quantity which has a direction:-

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  20. Which of the following physical quantities is an axial vector ?

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