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If ` vec a , vec b ,a n d vec c` are there mutually perpendicular unit vectors and ` vec d` is a unit vector which makes equal angles with ` vec a , vec b ,a n d vec c` , the find the value off `| vec a+ vec b+ vec c+ vec d|^2dot`

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FIITJEE-MATHEMATICS TIPS-NUMERICAL DECIMAL BASED QUESTIONS
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  4. If the difference of the roots of the equation x^(2)-5x+6=0 is same as...

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  5. The minimum value of 'a' for which a^(2)x^(2)+(2a-1)x+1 is non-negativ...

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  6. The minimum value of the expression [3x^(2)+4x+5] (where [.] greatest ...

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  7. Let lambda be real. If. The origin and the complex roots of 2z^(2)+2z+...

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  8. The equation |z-i|+|z+i|=k, k gt 0 can represent an ellipse, if k=

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  9. For |z-1|=1, i tan(("arg"(z-1))/(2))+(2)/(z) is equal to

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  11. Find out the sum of the coefficients in the expansion of the binomial ...

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  13. The probabilities of two events are 0.25 and 0.50. The total probabili...

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  14. Let A=[{:(x^(2),6,8),(3,y^(2),9),(4,5,z^(2)):}],B=[{:(2x,3,5),(2,2y,6)...

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  15. The number of non-zero diagonal matrices of order 4 satisfying A^(2)=A...

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  16. Find the following system of equations is consistent, (a+1)^3x+(a+2...

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  17. The maximum value of determinant |{:(cos(alpha+beta),sin alpha,-cos al...

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  18. If x+y+z=10, where x,y,z in N. Find the number of solutions of triplet...

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  19. The figures 4, 5, 6, 7, 8 are written in every possible order. The num...

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  20. If a^(2)+b^(2)+c^(2)=1 where, a,b,cin R, then the maximum value of (4a...

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  21. Let vec a , vec b a n d vec c be three vectors having magnitudes 1...

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