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If the magnitudes of two vectors are 3 a...

If the magnitudes of two vectors are 3 and 4 and their scalar product is 6, then find the angle between the two vectors.

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SL ARORA-VECTORS-Example
  1. Prove that the vectors vec(A) = hati +2 hatj +3hatk and vec(B) = 2hati...

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  2. Find the value of lambda so that the vectors vec(A) = 2hati + lambda h...

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  3. If the magnitudes of two vectors are 3 and 4 and their scalar product ...

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  4. A body acted upon by a force of 50N is displaced through a distance of...

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  5. A body constrained to move along the z-axis of a co-ordinate system is...

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  6. A forc of 7hati + 6hatk newton makes a body move on a rough plane with...

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  7. Three vectors vec(A),vec(B) and vec(C) are such that vec(A) = vec(B)+v...

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  8. If |vec(A)+vec(B)| = |vec(A)-vec(B)|, find the angle between vec(A) an...

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  9. If vector P, Q and R have magnitude 5,12,and 13 units and vec(P)+vec(Q...

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  10. Determine the angles which the vector vec(A) = 5 hati + 0 hatj +5hat...

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  11. If hati and hatj are unit vectors along X-and Y-axis respective, then ...

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  12. Find the components of vec(a) = 2hati +3hatj along the direction of ve...

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  13. If unit vectors hat(a) and hat(b) are inclined at angle theta, then pr...

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  14. If vec(A) +vec(B) = vec(C) and A^(2) +B^(2) = C^(2), then prove that v...

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  15. Calculate the area of the parallelogram whose two adjacent sides are f...

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  16. If vec(A) and vec(B) denpte the sides of a parallelogram and its area ...

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  17. Determine a unit vecor perpendicular to both vec(A) = 2 hati +hatj +ha...

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  18. Find a vector whose length is 7 and which is perpendicular to each of ...

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  19. Determine the sine of the angle between the vectors 3 hati +hatj +2hat...

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

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