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Find the projection of vec b+ vec c on...

Find the projection of ` vec b+ vec c` on ` vec a` where ` vec a=2 hat i-\ 2 hat j+\ hat k ,\ vec b=\ hat i+\ 2 hat j-\ 2 hat k` and ` vec c=2 hat i-\ hat j+\ 4 hat k`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. If y=sin(logx), prove that x^2(d^2y)/(dx^2)+\ x(dy)/(dx)+\ y=0

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  2. Verify Rolle's theorem for the function f(x)=\ x^2-5x+4\ on [1, 4].

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  3. Find the projection of vec b+ vec c on vec a where vec a=2 hat i-\...

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  4. Evaluate int0^2(x^2+\ 2x+1)dx as limit of a sum.

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  5. Using properties of definite integrals, prove the following : into...

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  6. Evaluate: intcos4x cos3x\ dx

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  7. Evaluate : int(1+x^2)/(1+x^4)dx

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  8. A card is drawn at random from a well-shuffled pack of 52 cards. Fi...

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  9. Solve the following differential equation : xcosy\ dy=(x e^xlogx+e^x)...

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  10. If A=[(2,-3),(3,4)], show the A^2-6A+17I=0. Hence find A^-1

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  11. An urn contains 7 red and 4 blue balls. Two balls are drawn at rand...

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  12. Find the equation of the sphere passing through the points (3,0,0), (0...

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  13. Find the equation of the plane which is perpendicular to the plane ...

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  14. A particle starting with initial velocity of 30 m/sec moves with a u...

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  15. Find the value of lambda which makes the vectors vec a ,\ vec b an...

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  16. A ball projected with a velocity of 28 m/sec has a horizontal range...

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  17. Find the resultant of two velocities 4 m/sec and 6 m/sec inclined to...

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  18. Show that a right circular cone of least curved surface and given vo...

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  19. Find the point on the curve x^2=8y which is nearest to the point...

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  20. Solve the following differential equation : (dy)/(dx)+2y=6e^x

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