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Find vecc, when vecaxxvecc=vecb and veca...

Find `vecc`, when `vecaxxvecc=vecb` and `veca.vecc= 3` where `veca= hatr+hatj+hatk` and `vecb= hatj-hatk`.

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UNITED BOOK HOUSE-QUESTION PAPER 2015-EXERCISE
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  2. Solve the following equations by Cramer's method: x+y=1,y+z= 2,x+z=3.

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  3. Show that |[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|=2(a+b+c)^3.

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  4. Solve for x: |[x,c+x,b+x],[c+x,x,a+x],[b+x,a+x,x]|=0

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  8. SolveL (1+y)^2dx=(tan^(-1)y-x)dy, given that y= 0 when x= -1.

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  9. If the rate of increase of population is 5% per year, then in how man...

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  10. Find vecc, when vecaxxvecc=vecb and veca.vecc= 3 where veca= hatr+hatj...

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  11. Find the value of lambda if three vectors veca= 2hati-hatj+hatk,vecb= ...

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  12. Evaluate (with the help of definite integral) underset(n rarr infty)...

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  15. The probability distribution of a random variable X is given as follo...

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  19. Find the image of the point (1,6,3) with respect to the line x/1=(y-1...

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