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Write a vector normal to hati+hatk and h...

Write a vector normal to `hati+hatk` and `hati+hatj`.

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Determine the area of the parallelogram whose sides are the vectors 2hati + 2hatj and hati -hatk .

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Find the area of the parallelogram whose diagonals are vectors 3hati+hatj-2hatk and hati-3hatj+4hatk .

Find the scalar components of a unit vector which is perpendicular to the vectors hati+2hatj-hatk and 3hati-hatj+2hatk .

Find the angle between the vectors 3hati+ 4hatj and 2hati+hatj+hatk .

What is the volume of the parallelopiped whose sides are given by the vectors. hati + hatj, hatj+hatk and hatk+hati

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SHARAM PUBLICATION-QUESTION PAPER 2011-EXERCISE
  1. Write the order of the differential equation whose general solution is...

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  2. Write the particular solution of the equation (dy)/(dx) = sinx for wh...

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  3. Write a vector normal to hati+hatk and hati+hatj.

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  4. Write the values of m and n for which the vectors (m-1)hat(i) + (n+2)h...

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  5. How many independent constants are there in the general equation of a ...

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  6. Determine the values of a,b and h for which the equation ax^2+2hxy+by^...

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  7. Write the maximum value of x+y subject to 2x+4yle6,xge0,yge0.

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  8. Write the value of k, if |{:(aa1,aa2,aa3),(ab1,ab2,ab3),(ac1,ac2,ac3...

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  9. if A is a 3xx3 matrix and |A| = 3, then write the matric represented b...

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  10. Find r if: 16P(15,r)= 13P(16,r)

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  11. Determine the middle term in the expansion of (1/3a+1/3b)^8.

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  12. A bag contains 7 white and 9 black balls. If a ball is drawn at random...

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  13. Find (dy)/(dx) if y = logtan^(-1)x+e^(2x).

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  14. Find (dy)/(dx) if y = 10^(ln sinx)

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  15. Evaluate overset(lim)(xrarrpi/2)(secx-tanx)

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  16. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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  17. State Cauchy's mean value theorem.

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  18. Integrate: int(e^(2x)-4x^(3))dx

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  19. Find by integration the area bounded by the straight lines y=0,y=x and...

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  20. Evaluate: overset(4)underset(0)int sqrtx dx

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