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If two vector are equal and rheir result...

If two vector are equal and rheir resultant is also equal to one of them , then the angle between the two vector is

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Let `P = ,Q = A, R = A , theta = ?`
`R = sqrt(P^(2)+Q^(2)+2PQ cos theta )`
`A = sqrt(A^(2)+A^(2)+2Axx A cos theta )`
`=sqrt(2A^(2) +2A^(2)cos theta)`
`A^(2) = 2A^(2) (1+cos theta) , cos theta = 1/2 - 1 = -1/2 , theta = 120^(@)`
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ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -ADDITIONAL SOLVED PROBLEMS
  1. P,Q and R are three forces acting simultaneously on a particle .vec(S)...

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  2. vec(A) and vec(B) are two vectors having the same magnitude but act...

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  3. If two vector are equal and rheir resultant is also equal to one of th...

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  4. Show that the magnitude of vector sum of vec(a) and vec(b) cannot be g...

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  5. The resultant of two vectors , having equal magnitudes E make an angle...

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  6. Two equal vectors are inclined at 60^(@) .At what direction does the ...

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  7. What are the properties fo two vectors vec(a) and vec(b) such that v...

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  8. If the magnitude of sum of two vectors is equal to the magnitude of di...

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  9. The angle between two vectors vec(u) and vec(v) is 60^(@) .Find (i) th...

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  10. If abs(vec(a)+vec(b))=abs(vec(a)-vec(b)), then show that vec(a) and ve...

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  11. If vec(A) = 2hat(i) + 7 hat(j) -2hat(k) and vec(B) = 2 hat(i) - 3 hat...

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  12. If the vectors given by vec(A) = hat(i) + 2hat(j) + 2hat(k) and vec(B...

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  13. IF vec(a),vec(b) and vec(c ) represent the three sides of a triangle a...

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  14. IF vec(a),vec(b) and vec(c ) represent the three sides of a triangle a...

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  15. Show that the two vectors vec(A) and vec(B) are parallel , where vec(...

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  16. Find the value of the following | vec(a). vec(b)|^(2)+|vec(a)xx vec(...

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  17. Find the value of the following |vec(a).vec(b)|^(2)-|vec(a)xx vec(b)...

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  18. vec(AC) and vec(BD) are the diagonals of a parallelogram ABCD. Prove ...

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  19. Give an example of two physical quantities such that their scalar prod...

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  20. Given that vec(A) xx vec(B) = 0 , vec(B) xx vec(C ) = 0 , find the va...

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