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If vector P, Q and R have magnitude 5,12...

If vector `P, Q and R` have magnitude 5,12,and 13 units and `vec(P)+vec(Q)=vec(R )`, the angle between Q and R is

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SL ARORA-Motion in a Plane-Example
  1. Three vectors vec(A),vec(B) and vec(C) are such that vec(A) = vec(B)+v...

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  2. If |vec A + vec B|=|vec A-vecB|, finf the angle between vec A and vec ...

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

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

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

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

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  7. Motion in two dimensions, in a plane can be studied by expressing posi...

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  8. Prove that the vectors vec(A) = 2hati - 3hatj - hatk and vec(B) =- 6 h...

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  9. Calculate the area of a paralleleogram whose two adjacent sides are fo...

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

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  11. The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and...

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  12. Find a unit vector perpendicular to each one of the vectors vec(a) = 4...

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  13. Determine the sine of the angle between the vectors ( 3 hat i+ 3hat j+...

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

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  15. For any three vectors vec(A), vec(B) and vec(C) prove that vec(A) x...

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  16. For any to vectors vec A and vec B, prove that | vec A xx vec B|^2 ...

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  17. Find vec(A).vec(B) if |vec(A)| = 2, |vec(B)| = 5 and |vec(A) xx vec(B)...

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  18. Find the area of the rriangle formed by the tips of the vectors, ve...

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  19. Find the magnitude and direction cosines of the torque about the point...

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  20. Find the area of parallelogram whose diagonals are the vectors 3 hat i...

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