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If veca,vecb, vecc are three vectors suc...

If `veca,vecb, vecc` are three vectors such that ` |veca |= 5, |vecb| = 12 and | vecc|=13` and `veca+vecb+vecc=0` then `veca.vecb+vecb.vecc+vecc.veca` is equal to

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Using properties of determinants, prove the following |(a^2+1,ab,ac),(...

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  2. If y=(t a n^(-1)\ x)^2 , show that (x^2+1)^2(d^2\ y)/(dx^2)+2x(x^2+1)(...

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  3. If veca,vecb, vecc are three vectors such that |veca |= 5, |vecb| =...

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  4. Solve the following differential equation: 2x^2(dy)/(dx)-\ 2x y+y^2=0

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  5. Find the particular solution of the following differential equation...

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  6. Let * be a binary operation of N given by a*b=L C M\ (a , b) for all ...

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  7. Evaluate: int(2x)/((x^2+1)(x^2+3))\ dx

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  8. Evaluate: int(5x+3)/(sqrt(x^2+4x+10))\ dx

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  9. Find the Vector and Cartesian equations of the line passing through...

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  10. Evaluate : int((x-4)e^x)/((x-2)^3)\ dx

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  11. Show that y=log(1+x)-(2x)/(2+x), x gt 1 is an increasing function of x...

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  12. Find the equation of the normal at the point (a m^2, a m^3) for the ...

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  13. Evaluate : int(e^x)/(sqrt(5-4e^x-\ e^(2x)))\ dx

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  14. Find the relationship between a and b so that the function f defined...

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  15. If x^y=e^(x-y), show that (dy)/(dx)=(logx)/({log(x e)}^2)

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  16. Obtain the inverse of the following matrix, using elementary operation...

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  17. Using matrices, solve the following system of equations: x+y+z=6; x...

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  18. Find the value of p , if (2 hat i+6 hat j+27 hat k) x ( hat i+3 hat j+...

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  19. Write the direction cosines of a line equally inclined to be three ...

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  20. Let* be a binary operation on N given by a*b = HCF(a ,\ b)\ a ,\ b\...

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