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For what value lambda are the vectors...

For what value `lambda` are the vectors ` vec a=2 hat i+\ lambda hat j+ hat k\ a n d\ vec b= hat i-\ 2 hat j+3 hat k` perpendicular to each other?

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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  2. Prove the following: tan^(-1)\ 1/3+tan^(-1)\ 1/5+tan^(-1)\ \ 1/7+tan...

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  3. For what value lambda are the vectors vec a=2 hat i+\ lambda hat j...

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  4. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

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  5. Find the equation of tangent to the curve x=sin3t , y=cos2t\ \ at t=p...

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  6. Differentiate the following with respect of x\ :tan^(-1)\ ((sqrt(1+x)\...

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  7. For what value of k is the following function continuous at x=2? ...

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  8. If vec a+ vec b+ vec c=0 and | vec a|=3,\ | vec b|=5 and | vec c|=7 ...

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  9. If vec a= hat i+ hat j+ hat k\ a n d vec b= hat j- hat k , find a ...

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  10. Using integration find the area of the region bounded by the parabo...

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

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  12. Solve the following differential equation: (dy)/(dx)=(x\ (2y-x))/(x\ (...

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  13. Show that the height of the cylinder of maximum volume that can be ...

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  14. Show that the rectangle of maximum area that can be inscribed in a ...

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  15. Find a unit vector in the direction of vec a=3 hat i-2 hat j+6 hat...

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  16. Find the angle between the vectors vec a= hat i- hat j+\ hat k\ a...

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  17. If A=|(1,2,2),(2,1,2),(2,2,1)|, verifty that A^2-4A-5I-5I=0

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  18. A pair of dice is thrown 4 times. If getting a doublet is considere...

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  19. Using properties of determinants, prove the following |(alpha,beta,ga...

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  20. If "f"("x")=x+7 and g(x)=x-7,\ x\ \ R , find (fog)(7)

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