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If vec a= 2 hat i- hat j+ hat k and vec ...

If `vec a= 2 hat i- hat j+ hat k` and `vec b = - hat i+3 hat j+4 hat k`,then `veca.vecb` =

A

1

B

3

C

`-3`

D

`-1`

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UNITED BOOK HOUSE-SET 6-EXERCISE
  1. y=sin^(-1)(x/2)+cos^(-1)(x/2) then find the value of [dy/dx](x=1)

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  2. overset(pi//2)underset(-pi//2)int |sin x|dx =

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  3. If vec a= 2 hat i- hat j+ hat k and vec b = - hat i+3 hat j+4 hat k,th...

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  4. The line (x-a)/4=(y-b)/3=(z-c)/0 is

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  5. A ball is drawn from the urn, If in this experiment of a drawing ball,...

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  6. If X is a random vairalbe, then for any constant a (neo) and b, var (a...

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  7. (Z,*) where a* b = a+b-ab for all a,b inZ prove that the given binary ...

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  8. Show that sin (cot^(-1) (tan cos^(-1)x)) =x

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  9. If A = [[x,1],[1,0]] and A^2 =I then find the value of x.

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  10. Find the value of |[1,1,1],[4,3,2],[4^2,3^2,2^2]|

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  11. f(x) = { (kx+1, x le pi),( cos x, x >pi):} If f(x) is continous at x =...

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  12. if y = (x+sqrt(x^2+a^2))^n then prove that (dy)/(dx)= (ny)/(sqrt(x^2+a...

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  13. Evaluate: int((cosx+xsinx)/(x(x+cosx)))dx.

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  14. Verify Rolle's theorem for the function f(x) = x^2+2x-8 in [-4,2]

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  15. Solve: (1+x^2)(dy)/(dx) = y+tan^(-1)x

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  16. If vec p is a unit vector and (vec x- vecp).(vec x+ vecp) = 8 then fin...

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  17. Find the intercepts made by the plane x-2y+3z-18=0 on the axes.

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  18. If P(A) = 5/13,P(B)= 6/13 and P(AuuB) = 7//13 then find P(bar A//B) a...

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  19. The mean and variance of a binomial distribution are 16 and 12 respect...

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  20. Prove that tan^(-1) {(sqrt(1+cos x)+sqrt(1-cosx))/(sqrt(1+cos x)-sqrt(...

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