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Write the scalar components of 3hati-2ha...

Write the scalar components of `3hati-2hatj+5hatk`

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

Find the shortest distance between the lines vecr =(2hati-hatj-hatk)+lambda(3hati-5hatj+2hatk) and vecr =(hati+hatj+hatk)+mu(hati-hatj+hatk)

Given the position vectors of three points A(hati-hatj+2hatk ),B(4hati+5hatj+8hatk) and C(3hati+3hatj+6hatk) . Prove that A,B and C are collinear.

Consider the straight lines vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk )and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk ) Show that these lines are not coplanar.

A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. Consider the vectors veca=hati+2hatj-3hatk and vecb=4hati-hatj-2hatk. ...

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  2. Consider the vectors veca=hati+2hatj-3hatk and vecb=4hati-hatj-2hatk. ...

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  3. Write the scalar components of 3hati-2hatj+5hatk

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  4. Find the angle between the vectors hati+hatj and hati-hatj.

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  5. Find '|vecx|', if for a unit vector 'veca,(vecx-veca) .(vecx+veca)=12'

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  6. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x =

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  7. prove |[1, b c, a(b+c)],[ 1, c a, b(c+a)],[ 1, a b, c(a+b)]|=0

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  8. Principal value of tan^-1sqrt3is ------------

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  9. Write the following functions in the simplest form : tan^(-1) sqrt((...

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  10. Find int(x^2)/(2x^3+1) dx=--------

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  11. Prove that the function f(x)=2x-5 is continuous at x=-2

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  12. If xsqrt(1+y)=sqrtx, prove that dy/dx=-1/(x^2)

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  13. The factor of 3 is

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  14. Solve: x-y+2z=7 3x+4y-5z=-5 2x-y+3z=12

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  15. On Z^+,a*b=2^sqrt(ab), value of 4*9 is--------

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  16. In each of the following cases, states whether the function is one-one...

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  17. If f(x)=2x+3, findf[f(x)].

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  18. The total revenue received from tha sale of x units of a product is R(...

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  19. Find the equation of the normal to the curve x^2=9y which passes throu...

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  20. Consider the lines l1:(x-1)/2=(y-1)/-1=z/1 l2:(x-2)/3=(y-1)/-5=(z+1)/...

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