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The angle between two vectors vec(u) and...

The angle between two vectors `vec(u) and vec(v)` is `60^(@)` .Find (i) the scalar product of the two vectors and (ii) the vector product of the two vectors , if `vec(u) =7 units , vec (v) = 14 ` units ?

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To solve the problem step by step, we will find both the scalar product and the vector product of the two vectors given the angle between them and their magnitudes. ### Given: - Magnitude of vector \( \vec{u} = 7 \) units - Magnitude of vector \( \vec{v} = 14 \) units - Angle \( \theta = 60^\circ \) ### (i) Finding the Scalar Product ...
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ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -ADDITIONAL SOLVED PROBLEMS
  1. If two vector are equal and rheir resultant is also equal to one of th...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Find the magnitude of the sum of vec(A) and vec(B) and its direction ...

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