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For what value of p , is ( hat i+ hat j+...

For what value of `p ,` is `( hat i+ hat j+ hat k)p` a unit vector?

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Find the value of x for which x(hat i+hat j+hat k) is a unit vector.

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Find the values of 'x' for which x(hat(i)+hat(j)+hat(k)) is a unit vector.

If vec P=hat i+hat j+2hat k and vec Q=3hat i-2hat j+hat k ,the unit vector perpendicular to both bar(P) and bar(Q) is (A) (hat i+hat j-hat k)/(sqrt(3)) (B) 5(hat i+hat j-hat k) (C) (1)/(sqrt(3))(hat i-hat j+hat k) (D) (1)/(25)(hat i+hat j-hat k)

The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

The magnitude of the vector product of the vector hat i+hat j+hat k with a unit vector along the sum of vectors 2hat i+4hat j-5hat k and lambda i+2hat j+3hat k is equal to sqrt(2). Find the value of lambda_(.)

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate: int1^(sqrt(3))(dx)/(1+x^2)

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  2. If int(a x+b^2)\ dx=f(x)+c , find f(x)

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  3. For what value of p , is ( hat i+ hat j+ hat k)p a unit vector?

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  4. Find | vec x| , if for a unit vector vec a ,\ ( vec x-\ vec a)dot( v...

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  5. What is the value of the following determinant? Delta=|[4,a, b+c],[4...

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  6. What is the domain of the function sin^(-1)x ?

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  7. If 'f' is an invertible function, defined as f(x)=(3x-4)/5, write f...

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  8. Write a square matrix of order 2, which is both symmetric and skew ...

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  9. Find the direction cosines of the line passing through the followin...

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  10. If A=[[1, 2],[ 4, 2]], then find the value of k if |2A|=k\ |A|

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  11. If | vec a|=sqrt(3)\ | vec b|=2\ \ and vec a.vec b=sqrt(3,)\ find t...

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  12. A pair of dice is thrown 4 times. If getting a doublet is considere...

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  13. Evaluate: int0^1 1/(1+x^2)\ dx

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  14. Write the principal value of cos^(-1)(1/2)-2sin^(-1)(-1/2)

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  15. Simplify : cos theta[[costheta,si ntheta],[-si ntheta,costheta]]+si nt...

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  16. Evaluate int1^4(x^2-\ x)\ dx as a limit of sums.

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  17. If Delta=|[5, 3 ,8],[ 2, 0 ,1],[ 1 ,2 ,3]| , write the minor of the el...

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  18. Evaluate : int(1-x)sqrt(x)\ dxdot

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  19. Evaluate: int0^(pi/4)(sinx+cosx)/(9+16sin2x)dx

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  20. Find lambda where projection of vec (a) = lambda hat (i) + hat (j) ...

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