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The vector vec(F ) is a force of 3.0 ne...

The vector `vec(F )` is a force of `3.0` newton making an angle of `60^(@)` with the displacement . `vec(R )` of magnitude `4.0` m , find
the magnitude and direction of the cross product `vec(R ) xx vec(F )`

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`6 sqrt(3)` Nm , directed perpendicular to
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ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -FROM SCALAR PRODUCT AND VECTOR PRODUCT
  1. If vec(F ) = hat(i) +2 hat(j) + hat(k) and vec(V) = 4hat(i) - hat(j) +...

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  2. Find the projection of the vector vec(P) = 2hat(i) - 3hat(j) + 6 hat(k...

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  3. Given vec(A) = 2hat(i) + 3hat(j) and vec(B) = hat(i) + hat(j) . What i...

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  4. If hat(i) and hat(j) are unit vectors x and y axes repsectively , wha...

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  5. The result of scalar product and the vector product of two given vecto...

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  6. The magnitude to two vectors are sqrt(61) and sqrt(78) .If their scal...

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  7. Given vec(A) = hat(i) - 2hat(j) - 3hat(k) , vec(B) = 4hat(i) - 2hat(j)...

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  8. Simplify : (i) | vec(a).vec(b)|^(2) +| vec(a) xx vec(b)|^(2) (ii) | v...

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  9. Find the angle between vec(A) = hat(i) + 2hat(j) - hat(k) and vec(B) ...

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  10. The diagonals of a parallelogram are given by the vectors (3 hat(i) + ...

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  11. Obtain the condition for the two vectors vec(A) = x(1) hat(i) + y(1)ha...

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  12. What are the values of the following vec(A) . vec(A)

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  13. What are the values of the following vec(A) xx vec(A)

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  14. What are the values of the following vec(B) xx vec(A) , " if " vec(A...

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  15. The vector vec(F ) is a force of 3.0 newton making an angle of 60^(@)...

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  16. The vector vec(F ) is a force of 3.0 newton making an angle of 60^(@)...

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  17. If vec(A) = 5 hat(i) - 3 hat(j) + 4 hat(k) and vec(B) = hat(j) - hat(k...

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  18. Find the cross product vec(r ) xx vec(F) " given " vec(F ) = hat(i) + ...

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  19. Two vectors 5hat(i) + 7hat(j) - 3hat(k) and 2 hat(i) + 2hat(j) - a hat...

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  20. Prove that ( vec(A) + vec(B)) xx ( vec(A) - vec(B)) = 2 (vec(B) xx vec...

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