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Find a unit vector along the direction o...

Find a unit vector along the direction of the vector `5 hati - 3 hatj + 4 hatk `

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The correct Answer is:
`hata + pm ( 5 hati - 3 hatj + 4 hatk)/(sqrt5)`
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FULL MARKS-EXAMINATION QUESTION PAPER MARCH 2019-MATHEMATICS
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  2. Define diagonal and scalar matrices?

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  3. Find a unit vector along the direction of the vector 5 hati - 3 hatj +...

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  4. Define a continuous function on the closed interval [a,b]

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  5. Consider the function f (x) = sqrtx, x ge 0. Does lim (x to 0) f (x) e...

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  6. An integer is chosen at random from the first ten positive integers.F...

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  7. It is correct to say A xxA = {(a,a) :a in A} ? Justify your answer.

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  9. Find the coefficient of x ^(3) in the expansion of (2 -3x)^(7).

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  10. Find the nearest point on the line x - 2y=5 from the origin.

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  11. If veca ,vecb, vec c are three vectors such that veca + 2 vecb + vecc ...

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  12. Examine the continuity of the following : cotx+tanx

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  13. Differentiate the following : y=sin^(-1)((1-x^(2))/(1+x^(2)))

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  15. Evaluate: int(x-3)sqrt(x+2)dx.

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  16. Construct a suitable domain X such that f:x to N defined by f (n) = n ...

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  17. For the given bases curve y = sin x, draw y = 1/2 sin 2x

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  18. Solve the equation sqrt(6 - 4x - x^(2)) = x + 4

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  19. State and prove any one of the Napier's formulae.

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  20. Do the limit of the function (sin (x - [x]))/(x - [x]) exist as x to 0...

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