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For any three vectors veca,vecb,vecc sho...

For any three vectors veca,vecb,vecc show that `[(veca-vecb) (vecc-veca) (vecb-vecc)] = 0`

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(-veca).vecbxx(-vecc)) =

Prove that the four points with position vectors 2veca+3vecb-vecc, veca-2vecb+3vecc, 3veca+4vecb-2vecc and veca-6vecb+6vecc are coplanar.

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If veca,vecb and vecc are three vectors such that veca x vecb = vecc and vecb x vecc = veca , then prove that veca,vecb and vecc are mutually at right angles and |vecb| = 1,|vecc| = |veca|

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MODERN PUBLICATION-SAMPLE PAPER 2016-EXERCISE
  1. Prove that |a+b| le |a| + |b| State when equality will hold,

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  2. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

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  3. For any three vectors veca,vecb,vecc show that [(veca-vecb) (vecc-veca...

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  4. The projection of a line segment overline(OP), through origin O, on th...

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  7. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

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  8. Find the feasible region of the following system 2x+yge6,x-yle3,xge0...

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  9. Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])

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  10. Prove that the following. [[a,b,c],[x,y,z],[p,q,r]]=[[y,b,q],[x,a,p],[...

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  16. If X follows a binomial distribution with parameter n=6 and p with 4P(...

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  17. If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...

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