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If a vector 2 hat (i) + 3 hat(j) + 8 hat...

If a vector `2 hat (i) + 3 hat(j) + 8 hat(k)` is perpendicular to the vector `- 4 hat(i) + 4 hat(j) + alpha(k)`. Then 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
`( 2 hat(i) + 3 hat(j) + 8 hat(k)). (-4 hat(i) + 4 hat(j) + alpha hat(k)) = 0`
` - 8 + 12 + 8 alpha = 0 rArr alpha = -(1)/(2)`
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CP SINGH-VECTORS-Excercises
  1. A paricle starting from the origin (0,0) moves in a straight line in (...

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  2. If for two vectors vec(A) and vec(B), sum (vec(A)+vec(B)) is perpendic...

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  3. If a vector 2 hat (i) + 3 hat(j) + 8 hat(k) is perpendicular to the ve...

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  4. Which of the following vectors is//are perpendicular to the vector 4 I...

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  5. If vec(A) = 2 I + j - k , vec(B) = I + 2 j + 3 k , and vec(C ) = 6 i -...

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  6. Vectors which is perpendicular to ( a cos theta hat (i) + b sin theta ...

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  7. Two vectors vec A and vecB have equal magnitudes.If magnitude of (vecA...

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  8. The position vector of a particle is vec( r) = a cos omega t i + a sin...

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  9. The component of vector A= 2hat(i)+3hat(j) along the vector hat(i)+hat...

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  10. The vector component of vector vec(A) = 3 hat(i) + 4 hat(j) + 5 hat(k)...

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  11. If vec(A)xxvec(B)=vec(C ), then which of the following statements is w...

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  12. The magnitude of the vectors product of two vectors |vecA| and |vecB| ...

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  13. Three vector vec(A),vec(B), vec(C ) satisfy the relation vec(A)*vec(B)...

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  14. A vector vec(A) is along the positive x- axis . If B is another vector...

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  15. A vector vec(A) points verically upward and vec(B) points towards nort...

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  16. The value of (vec(A)+vec(B))xx(vec(A)-vec(B)) is

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  17. The scalar product of two vectors is 2 sqrt(3) and the magnitude of th...

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  18. If |vec(A)xxvec(B)|=sqrt(3)vec(A).vec(B), then the value of |vec(A)+ve...

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  19. The angle between the vector vec(A) and vec(B) is theta. Find the valu...

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  20. What is the unit vector perpendicular to the following vectors 2 hat(i...

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