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A Unit vector in the direction of the ne...

A Unit vector in the direction of the negative of the vector `(-hat(i)+hat(j)-hat(k))` is

A

`(-1)/(sqrt3)(-hat(i)+hat(j)-hat(k))`

B

`sqrt3(hat(i)+hat(j)-hat(k))`

C

`(-1)/(sqrt2)(hat(i)+hat(j)-hat(k))`

D

`(-1)/(sqrt3)(hat(i)+hat(j)-hat(k))`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-SCALARS AND VECTORS-Critical Thinking
  1. vec(A) is a vector with magnitude A, then the unit vector hat(A) in th...

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  2. If a unit vector is represented by 0.5 hat(i)-0.8 hat(j)+chat(k), then...

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  3. A Unit vector in the direction of the negative of the vector (-hat(i)+...

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  4. If vec(A)=2hat(i)+6hat(j)and vec(B)=4hat(i)+3hat(j), the vector having...

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  5. If the sum of two unit vectors is a unit vector, then magnitude of dif...

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  6. A vector of magnitude b is rotated through angle theta. What is the ch...

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  7. The resultant of two vectors vec(P) and vec(Q) is vec(R ). If the magn...

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  8. A force vector applied on a mass is represented as vec(F)=6hat(i)-8hat...

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  9. Vector vec(A)=2hat(i)-3hat(j)+ahat(k)andvec(B)=12hat(i)-bhat(j)+6hat(k...

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  10. If a 4hat(i)+3hat(j)+8hat(k) is perpendicular to the vector 4hat(j)-4h...

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  11. A force vec(F)=3hat(i)+chat(j) +2hat(k) acting on a particle causes a ...

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  12. Work done when a force of (7hat(i)-4hat(j)-4hat(k)) N moves a body thr...

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  13. If vec(P)=hat(i)-2hat(j)-3hat(k)and vec(Q)=4hat(i)-2hat(j)+6hat(k) , t...

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  14. Choose the CORRECT statement.

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  15. The sine of the angle between 3hat(i)+hat(j)+2hat(k)and 2hat(i)-2hat(j...

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  16. If vec(A).vec(B)=0andvec(A)xxvec(B)=0, then which of the following con...

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  17. If the ratio of the dot product of two vectors and cross product of sa...

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  18. Select the WRONG one.

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  19. If vec(a) and vec(b) are two vectors then the value of (vec(a) + vec(b...

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  20. Given vec(p)*(vec(P)+vec(Q))=P^(2) then the angle between vec(P)andvec...

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