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If ` vec a= hat i+ hat j+ hat k\ a n d` ` vec b= hat j- hat k ,` find a vector ` vec c` such that ` vec a\ "x"\ vec c= vec b` and ` vec adot\ vec c=3`

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If vec a= hat i+ hat j , vec b= hat j+ hat k , vec c= hat k+ hat i find the unit vector in the direction of vec a+ vec b+ vec cdot

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. For what value of k is the following function continuous at x=2? f(...

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

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

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

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

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

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  7. Show that of all the rectangles inscribed in a given fixed circle, ...

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

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

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  10. If A=[(1, 2, 2),( 2, 1, 2), (2, 2, 1)], verify that A^2-4A-5I=0

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  11. A pair of dice is thrown 4 times. If getting a doublet is considered a...

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  12. Using properties of determinants, prove the following: \begin{vmatr...

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

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  14. Find the value of sin[pi/3 - sin^(-1) (- 1/2)]

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  15. Find the value of x\ and y\ if "2" [(1,3) ,(0,x)]+ "[(y ,0 ),(1 ,2)]...

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  16. Evaluate: |{:(" "a+ib,c+id),(-c+id,a-ib):}|

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  17. Find the cofactor of a(12) in the following: [(2,-3,5), (6 ,0 ,4), (...

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  18. Evaluate int(x^2)/(1+x^3)\ dx"

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  19. Evaluate : int0^1(dx)/(1+x^2)

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  20. A factory owner purchases two types of machines, A and B for his fac...

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