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Find the least positive integral value o...

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

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Show, by vector methods, that the angularbisectors of a triangle are c...

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  2. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

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  3. Find the least positive integral value of x for which the angle betwee...

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  4. If vectors vec a= hat i+2 hat j- hat k , vec b=2 hat i- hat j+ hat k ...

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  5. Find the values of lambda such that x ,y ,z!=(0,0,0) and ( hat i+ hat ...

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  6. A vector has component A1, A2a n dA3 in a right -handed rectangular Ca...

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  7. The position vectors of the point A ,B ,C and D are 3 hat i-2 hat j- h...

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  8. Let O A C B be a parallelogram with O at the origin andO C a diagonal....

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  9. In a triangle A B C ,Da n dE are points on B Ca n dA C , respectivley,...

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  10. Prove by vector method that the line segment joining the mid-points...

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  11. If the resultant of two forces is equal in magnitude to one of the ...

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  12. The axes of coordinates are rotated about the z-axis through an angle ...

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  13. Prove that the sum of three vectors determined by the medians of a ...

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  14. If two side of a triangle are hat i+2 hat j and hat i+ hat k , then...

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  15. If in parallelogram ABCD, diagonal vectors are vec A C=2 hat i+3 ha...

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  16. Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b...

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  17. Check whether the three vectors 2 hat i+2 hat j+3 hat k ,-3 hat i+3...

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  18. The midpoint of two opposite sides of a quadrilateral and the midpo...

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  19. Prove that the lines joining the vertices of a tetrahedron to the ce...

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  20. Find the angle of vector vec a = 6 hat i + 2 hat j - 3 hat k with x -...

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