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The set of values of x for which the ang...

The set of values of x for which the angle between the vectors `vec a= x hat i-3hat j-hat k and vec b = 2x hat i+x hat j-hat k` acute and the angle between the vector `vec b` and the axis of ordinates is obtuse, is

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The set of values of x for which the angle between the vectors vec a=xhat i-3hat j-hat k and vec b=2xhat i+xhat j-hat k acute and the angle between the vector vec b and the axis of ordinates is obtuse,is

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Find the angel between the vectors vec a=hat i-hat j+hat k and vec b=hat i+hat j-hat k

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The values of x for which the angle between the vectors vec a=xhat i-3hat j-hat k and vec b=2xhat i+xhat j-hat k is acute and the angle between b and y-axis lies between (pi)/(2) and pi are:

Find the angle between the vectors vec A = hat I + 2 hat j- hat k and vec B =- hat I + hatj - 2 hat k .

Find the least positive integral value of x for which the angel between vectors vec a=xhat i-3hat j-hat k and vec b=2xhat i+xhat j-hat k is acute.

Find the vector of magnitude 3, bisecting the angle between the vectors vec a=2hat i+hat j-hat k and vec b=hat i-2hat j+hat k

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A DAS GUPTA-Product of two Vectors-Exercise
  1. If |vec a|=1=|vec b| and |vec a + vec b|=sqrt3 then evaluate (2 vec a ...

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  2. Find lambda such that the scalar product of the vector vec i + vec j +...

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  3. The set of values of x for which the angle between the vectors vec a= ...

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  4. Let vec(a), vec(b), vec(c) be vectors of length 3, 4, 5 respectively. ...

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  5. Vectors 3 vec a-5 vec ba n d2 vec a= vec b are mutually perpendicular....

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  6. The pth, qth and rth terms of a GP are the positive numbers a,b and c ...

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  7. If vec a, vec b , vec c are mutually perpendicular vectors of equal ma...

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  8. A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a...

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  9. vec a , vec b and vec c are the position vectors of points A ,B and C...

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  10. Given the vectors vec A , vec B ,a n d vec C form a triangle such tha...

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  11. If AC and BD are the diagonals of a quadrilateral ABCD, prove that its...

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  12. A , B , Ca n dD are any four points in the space, then prove that |...

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  13. If the angle between the vectors x vec i + vec j - vec k and vec i + x...

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  14. If the vector vec a= x vec i + y vec j + 2 vec k is perpendicular to t...

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  15. If vec a is a vector of magnitude 50 and parallel to vec b= 6 vec i - ...

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  16. If vec a , vec b ,a n d vec c are unit vectors such that vec a+ vec ...

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  17. Prove that , vec(a) xx ( vec (b) + vec(c)) + vec(b) xx (vec(c) + ...

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  18. If vec a and vec b are vectors, each of magnitude 3 then |vec a+ vec ...

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  19. If vecA = (1, 1, 1), vecC = (0,1,-1) are given vectors, then prove tha...

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  20. Find a unit vector perpendicular to the plane determined by the poi...

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