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If vec a ,\ vec b ,\ vec c are three...

If ` vec a ,\ vec b ,\ vec c` are three vectors such that ` vec adot\ vec b= vec adot\ vec c` and ` vec a\ xx\ vec b= vec a\ xx\ vec c ,\ vec a\ !=0` , then show that ` vec b= vec c` .

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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  4. The probability that A hits a target is 1/3 and the probability tha...

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  5. Using matrices, solve the following system of linear equations: 3x-2...

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  6. Show that the lines (x+3)/(-3)==(z-5)/5;(x+1)/(-1)=(y-2)/2=(z-5)/5 are...

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  7. Using integration, find the area of the region: {(x , y):9x^2+y^2l...

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  8. Consider the binary operations ** \: R\ xx\ R -> R and o\ : R\ xx\ R ...

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  9. Evaluate: intx^2\ dotcos^(-1)\ x\ dx

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  10. Evaluate : int1/(x+xlogx)\ dx

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  11. Find the area of the greatest rectangle that can be inscribed in an...

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  12. If the binary operation **, defined on Q, is defined as a**b=2a+b-a ...

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  13. Find the value of the following: tan (1/2)[sin^(-1) ((2x)/(1+x^2))+c...

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  14. Evaluate : int0^1 1/(sqrt(2x+3))\ dx

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  15. Find a unit vector in the direction of vec a=2 hat i-\ 3 hat j+6 hat ...

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  16. If [[y+2x,5],[-x,3]]=[[7, 5],[-2 ,3]], find the value of y

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  17. Find the position vector of a point R which divides the line joinin...

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  18. Find the Cartesian equation of the plane passing through the points...

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  19. What is the cosine of the angle which the vector sqrt(2) hat i+ hat j+...

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  20. On a multiple choice examination with three possible answers (out o...

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