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Prove the following by vector method. Th...

Prove the following by vector method. The diagonals of a rhombus are at right angles.

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  2. int(pi//6)^(pi//3)dx/(1+sqrtcotx)

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  3. Prove the following by vector method. The diagonals of a rhombus are a...

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  6. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  9. Prove that int(dx)/(2+sinx)=2/sqrt(3)tan^-1((2tanx//2+1)/sqrt3)+c.

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  10. Solve dy/dx-y/x=xy^2.

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  11. Let f: X rarr Y If there exists a map g:Y rarr X such that gof = id...

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  12. If "cos"^(-1)(x/y) +"cos"^-1(y/3)= theta, "prove that" 9x^2- 12xy "co...

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  14. Prove by vector method that the medians of a triangle are concurrent.

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  15. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

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  16. If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...

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  18. Let A={1,2,3}, which of the following functions on A is invertible?

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  19. Let A={1,2,3}, which of the following functions on A is invertible?

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  20. Let A={1,2,3}, which of the following functions on A is invertible?

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