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Find the area of the triangle ABC with v...

Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) and C(4,3,1) by vector method.

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SHARAM PUBLICATION-QUESTION PAPER 2016-EXERCISE
  1. Solve: (x^2-1)dy/dx+2xy=1

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  2. Prove that |a+b| le |a| + |b| State when equality will hold,

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

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

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  5. passing through the point (-1,3,2) perpendicular to the planes x+2y+...

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  6. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

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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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  11. If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]], show that for no values of...

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  12. How many 4 digit numbers each greater than 6000 can be formed with be ...

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  13. If m=""^nC2, prove that ""^nC2=3(n+1)C4.

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  14. If the ratio of the 3rd term from the beginning to the 3rd term from t...

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  15. Let A and B be events with P(A)=1/3,P(AuuB)=3/4,P(AnnB)=1/4, find P(Au...

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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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  18. Shows that the triangle of greatest area that can be inscribed in a ci...

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  19. Determine the area common to the parabola y^2=x and the circle x^2+y^2...

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  20. Find the solution of the following differential equations: x dy-ydx=sq...

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