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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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The correct Answer is:
`(5)/(2)sqrt(10)` sq units
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ARIHANT PUBLICATION-QUESTION PAPER 2018-SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)
  1. int(0)^(1/2)(1)/(sqrt(1-x^(2)))dx.

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  2. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

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  3. Prove that the measure of the angle between two main diagonals of a cu...

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  4. The position vectors of two points A and B are 3hati+hatj+2hatk and ha...

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

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  6. Prove that [(veca+vecb,vecb+vecc,vecc+veca)]=2[(veca,vecb,vecc)].

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  7. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  8. If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...

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  9. Find the shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/...

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  10. int(0)^(1)(1)/(1-x^(2))dx.

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  11. Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...

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  12. In a DeltaABC, if mangleA=90^(@), prove that "tan"^(-1)b/(a+c)+"tan"^(...

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  13. By elementary operations, find A^(-1) for the following: A=[[1,1,0],[1...

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  14. Solve the following system of equations by the matrix inversion method...

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  15. Two cards are drawn successively with replacement from a well-shuffled...

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  16. Find the coordinates of the point on the curve x^2y - x + y = 0 wher...

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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. Find the solution of the following differential equations: (4x+6y+5)dx...

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  19. Evaluate intfrac[2cosx+7][4-sinx]dx

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  20. Find the area enclosed by y=4x-1 and y^(2)=2x.

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