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The value of x for which the angle betwe...

The value of `x` for which the angle between ` vec a=2x^2 hat i+4x hat j+ hat ka n d vec b=7 hat i-2 hat j+ hat k` is obtuse and the angle between `b` and the z-axis acute and less than `pi//6` is given by

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Vectors 3 vec a-5 vec b and 2 vec a+ vec b are mutually perpendicular....

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  2. If vectors vec aa n d vec b are two adjacent sides of a parallelogr...

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  3. The value of x for which the angle between vec a=2x^2 hat i+4x hat ...

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  4. Let vec a* vec b=0,w h e r e vec aa n d vec b are unit vectors and th...

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  5. A parallelogram is constructed on 3 vec a+ vec ba n d vec a-4 vec b...

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  6. Let the position vectors of the points Pa n dQ be 4 hat i+ hat j+lam...

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  7. If a \ "a n d" \ c are unit vectors and |b|=4 . The angle between a ...

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  8. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero vec...

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  9. If vec a+2 vec b+3 vec c=0,t h e n vec axx vec b+ vec bxx vec c+ vec ...

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  10. If vec a \ a n d \ vec b are two non-collinear unit vector, and ...

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  11. The angles of triangle, two of whose sides are represented by vector...

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  12. vec a , vec b ,a n d vec c are unimodular and coplanar. A unit vector...

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  13. Vectors perpendicular to hat i- hat j- hat k and in the plane of hat...

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  14. If side vec A B of an equilateral trangle A B C lying in the x-y plan...

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  15. If vec a, vec b,vec c and vec d are unit vectors such that (vec a xx v...

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  16. Let two non-collinear unit vector hat a a n d hat b form an acute a...

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  17. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

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  18. If vec a , vec b and vec c are three non-zero, non coplanar vector...

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  19. The unit vector which is orthogonal to the vector 3 hat i+2 hat j+6 ...

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  20. If vec a and vec b are unequal unit vectors such that ( vec a- vec ...

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