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Find the components of vec(a) = 2hati +3...

Find the components of `vec(a) = 2hati +3hatj` along the direction of vectors `hati +hatj` and `hati - hatj`.

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SL ARORA-VECTORS-Example
  1. Determine the angles which the vector vec(A) = 5 hati + 0 hatj +5hat...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Find |vec(A) xx vec(B)| if |vec(A)| = 10|vec(B)| = 2 and vec(A).vec(B)...

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

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  16. Find the area of the triangle formed by the tips of the vectors vec(a)...

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  17. Find the moment about the point (1,-1,-1) of the force 3 hati +4hatj -...

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  18. The diagonals of a parallelogram are gives by the vectors 3hati +hatj ...

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  19. Prove by the method of vectors that in a triangle a/(sin A)=b/(sinB)=c...

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  20. Let vec(a), vec(b) and vec(c) be three vectors such that vec(a) + vec...

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