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Find unit vector in the direction of vec...

Find unit vector in the direction of veca+vecb, where `veca=-hati+hatj+hatk` and 'vecb=2hati+hatj-3hatk'

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Find the unit vector in the direction of the sum of the vectors, veca = 2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .

Find the scalar projection of vecb on veca where : veca=2hati+2hatj-hatk and vecb=2hati-hatj-4hatk

Find the scalar projection of vecb on veca where : veca=2hati+2hatj+hatk and vecb=2hati-hatj+4hatk

JMD PUBLICATION-SOLVED SAMPLE QUESTION PAPERS-EXAMPLE
  1. find the area of the region bounded by 'y^2=4x' and x=2

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  2. Find lambda so that the scalar projection of veca=lambdahati+hatj+4hat...

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  3. Find unit vector in the direction of veca+vecb, where veca=-hati+hatj+...

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  4. Prove that : tan^-1[(sqrt(1+x^2) - sqrt(1-x^2))/(sqrt1+x^2 + sqrt(1-x^...

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  5. If x^y+y^x= (x+y)^(x+y), then prove that dy/dx= ((x+y)^(x+y) [1+log(x+...

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  6. If y= [Log(x+sqrt(x^2+1))]^2 then show that (x^2+1)y2+xy1=0

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  7. Evaluate intdx/(sinx-sin2x)

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  8. Solve (3xy+y^2)dx+(x^2+xy)dy=0, y(1)=1

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  9. solve the differential equation: dy/dx=tan(x+y)

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  10. A car manufacturing factory has to plant s X and Y. Plan X manufacture...

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  11. Solve the following system of linear equations by matrix method: x - y...

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  12. If A= [[1,2,2,],[2,1,2,],[2,2,1,]] then verify A^-1A=I

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  13. Find the shortest distance (S.D.) between the lines : vec r = hat i + ...

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  14. Find the equation of the perpendicular drawn from the point (2,4,-1) t...

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  15. Maximise z=20x+15y subject to constraints 120x +60yle12000,x+yle150

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  16. Maximise z=x+y subject to 2x+yle50, x+2y=40

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  17. The number of bijective functions from A to B if n(A)=n(B)=4

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  18. The value of sin(cos^-1(3/5)) is:

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  19. If AB=A and BA=B, then B^2=

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  20. If A is a square matrix of order 3 such that |A|=13, then |adj A| is e...

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