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If the vectors vec(PQ)=-3i+4j+4k and vec...

If the vectors `vec(PQ)=-3i+4j+4k` and `vec(PR)=-5i+2j+4k` are the sides of a `trianglePQR` Find the angle between `vec(PQ)` and `vec(PR)`

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If the vectors vec(PQ)=-3i+4j+4k and vec(PR)=-5i+2j+4k are the sides of a trianglePQR .Find the length of the median through the vertex P.

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Find the angle between the vectors veca=3i+4j+k and vecb=2i+3j-k .

MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Consider the differential equation xdy/dx+y=1/x^2 Find the integra...

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  2. Solve the differential equation xdy/dx+y=1/x^2.

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  3. If the vectors vec(PQ)=-3i+4j+4k and vec(PR)=-5i+2j+4k are the sides o...

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  4. If the vectors vec(PQ)=-3i+4j+4k and vec(PR)=-5i+2j+4k are the sides o...

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  5. If veca=5i-j-3k and vecb=i+3j+5k,then show that the vectors veca+vecb,...

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  6. If veca=i-2j+3k,vecb=2i+3j-4k and vecc=i-3j+5k,then check whether ve...

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  7. Find the Cartesian equation of the line passing through origin and (5,...

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  8. The point P(x,y,z) lies in the first octant and its distance from the ...

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  9. Solve graphically. Maximise Z=5x+3y Subject to the constraints 3...

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  11. Express the following matrices as the sum of a Symmetric and a Skew Sy...

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  12. If A^T=[[cosx,sinx],[-sinx,cosx]],Verify that A^TA=I

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  13. Without expanding prove that abs[[x+y,y+z,z+x],[z,x,y],[1,1,1]]=0

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  14. Consider the following system of equations 2x-3y+5z=11, 3x+2y-4z=-5,x...

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  15. Consider the following system of equations 2x-3y+5z=11,3x+2y-4z=-5...

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  16. Find dy/dx of the following x^2+xy+y=100

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  17. Find dy/dx of the following y^x=2^x

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  18. Find dy/dx of the following x=costheta,y=sintheta at theta=pi/4

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