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Write the values of m and n for which th...

Write the values of m and n for which the vectors `(m-1)hat(i) + (n+2)hat(j) + 4hat(k)` and `(m+1)hat(i) + (n-2)hat(j) + 8hat(k)` will be parallel.

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

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

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

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

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

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

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

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

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

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

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

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

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  16. State Cauchy's mean value theorem.

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

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

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