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If | vec a|=8,| vec b|=3 and | vec a x v...

If `| vec a|=8,| vec b|=3` and `| vec a x vec b|=12 ,` find the angle between ` vec a` and ` vec bdot`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find int(sin^6x)/(cos^8x)dxdot

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  2. Evaluate: int(tan^(-1)x)/(1+x^2)dx

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  3. If | vec a|=8,| vec b|=3 and | vec a x vec b|=12 , find the angle betw...

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  4. Find the angle between x-axis and the vector hat i+ hat j+ hat k

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  5. Find the vector vec p which is perpendicular to both vecalpha=4 hat ...

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  6. Find the unit vector perpendicular to plane ABC where the position vec...

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  7. Solve the differential equation x(dy)/(dx)+y=xcosx+sinx , given y(pi/2...

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  8. Two schools, P and Q, want to award their selected students for the...

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  9. Using properties of determinants, prove the following : |[b+c, a ,a]...

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  10. Let f,g: R-R be two functions defined as f(x)=|x|+x and g(x)=|x|-x , f...

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  11. Write the equation of the straight line through the point (alpha,beta,...

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  12. If y=tan^(-1)(a/x)+logsqrt((x-a)/(x+a)) , Prove that (dy)/(dx)=(2a^3)/...

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  13. Find the value of the constant k so that the function f , defined belo...

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  14. The sides of an equilateral triangle are increasing at the rate of ...

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  15. Find intervals in which the function given by f(x)=3/(10)x^4-4/5x^3-3x...

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  16. Find the particular solution of the differential equation x(dy)/(dx)=y...

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  17. Differentiate tan^(-1)((sqrt(1-x^2))/x) with respect to cos^(-1)(2xsqr...

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  18. Using properties of determinants, prove that |[2y,y-z-x,2y],[2z,2z, ...

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  19. Write the vector equation of the plane, passing through the point (...

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  20. Let A={1,2,3,...,9} and R be the relation in A xx A defined by (a , b)...

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