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vec(A)and vec(B) are the two vectors suc...

`vec(A)and vec(B)` are the two vectors such that ratio their dot product to magnitude of their cross product is `(1)/(sqrt3)`. Then the angle between `vec(A)and vec(B)` is

A

`(pi^(c))/(2)`

B

`(pi^(c))/(3)`

C

`0^( c )`

D

`(pi^(c))/(6)`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-SCALARS AND VECTORS-Evaluation Test
  1. A force vec(F) = 4hat(i) + 3hat(j) - 2hat(k) is passing through the or...

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  2. Assertion: If vec(a) = hat(i) + 2hat(j) - 2hat(k), vec(b) = 2hat(i) + ...

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  3. Two forces of magnitudes 3 N and 5 N act at the same point on an objec...

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  4. If vec(A) is a vector of magnitude 3 units due east. What is the magni...

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  5. A body constrained to move in Y direction, is subjected to a force giv...

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  6. Choose the incorrect option. The two vectors vec(P) and (Q) are dra...

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  7. When vector hat(n) = ahat(i) + bhat(j) is perpendicular to (2hat(i) + ...

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  8. A force of -4Fhat(K) acts O, the origin of the coordinate system. The ...

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  9. If hat(i), hat(j) and hat(k) are unit vectors along x,y and z-axis res...

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  10. vec(A)and vec(B) are the two vectors such that ratio their dot product...

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  11. Two vectors vec(A) and vec(B) lie in plane, another vector vec(C ) lie...

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  12. A particle acted upon by constant forces 5hat(i) + hat(j) - 2hat(k) an...

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  13. The x and y components of vectors vec(A) are 4 m and 6 m respectively...

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  14. The angel subtended by the vector A = 6hat(i) + 3hat(j) + 4hat(k) with...

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  15. A particle moves in the x-y plane under the action of a force vec(F) s...

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  16. Given vec(A) = 3hat(i) + 2hat(j) and vec(B) = hat(i) + hat(j). The com...

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  17. A vector vec(A) is along the positive x-axis and its vector product w...

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  18. What is the area of the triangle formed by sides vec(A) = 2hat(i) - 3h...

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  19. The component of vector vec(A) = a(x) hat(i) + a(y) hat(j) + a(z) hat(...

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