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Let vec a=4hati+5hatj-hatk, vecb = hati ...

Let `vec a=4hati+5hatj-hatk, vecb = hati -4hatj+5hatk` and `vec c=3hati+hatj-hatk` . Find a vector `vec d`which is perpendicular to both `vec c` and `vec b` and `vec d.vec a=21`

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. The differential equations, find a particular solution satisfying t...

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  2. A factory manufactures two types of screws, A and B. Each type of scre...

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  3. Let vec a=4hati+5hatj-hatk, vecb = hati -4hatj+5hatk and vec c=3hati+h...

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  4. Shortest distance between the lines:vecr=(4hati-hatj)+lambda(hati+2hat...

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  5. Suppose a girl throws a die. If she gets 1 or 2 , she tosses a coin th...

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  6. If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...

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  7. Two numbers are selected at random(without replacement) from the first...

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  8. Using elementary row transformations, find the inverse of the matrix A...

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  9. Let A={x in Z:0 le x le 12}. Show that R={(a,b):a,b in A,|a-b| is divi...

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  10. Show that the function f:R->R defined by f(x)=x/(x^2+1) AA x in R is n...

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  11. If an operation ** on the set of integers Z is defined by a**b=2a^2+b ...

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  12. Find the equation of the plane passing through the point <math> <mr...

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  13. If A is a square matrix of order 2 and |A|=4, then find the value of |...

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  14. Solve the following differential equation: x[dy]/[dx]sin(y/x)+x-ysin...

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  15. Four cards are drawn one by one with replacement from a well-shuffled ...

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  16. int1^5(|x-1|+|x-2|+|x-4|)\ dx

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  17. Find the particular solution of the differential equation: (1+e^2x)dy+...

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  18. The probability of two students A and B coming to school are 2/7 and 4...

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  19. If y=(sinx)^x+sin^(-1)sqrt(1-x^2) then find (dy)/(dx)

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  20. If x,y,z are different and Delta=|[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z...

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