Home
Class 12
MATHS
If vec a=7 hat i-4 hat j-4 hat k and ve...

If ` vec a=7 hat i-4 hat j-4 hat k` and `vec b=-2 hat i- hat j+2 hat k ,` determine vector ` vec c` along the internal bisector of the angle between of the angle between vectors ` vec a and vec b` such that `| vec c| =5sqrt(6)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If vec a= 2 hat i- hat j+ hat k and vec b = - hat i+3 hat j+4 hat k ,then veca.vecb =

if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , Find vec a . vec b =?

If vec a= hat i+ hat j+ hat k and vec b= hat i-2 hat j+ hat k , then find vector vec c such that vec a . vec c=2 and vec axx vec c= vec bdot

If vec a.hat i= vec a.( hat i+ hat j)= vec a.( hat i+ hat j+ hat k) , then find the unit vector vec a

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

If vec (a)= 2 hat (i) - hat (j) + hat (k) and vec(b) = - hat (i) + 3 hat (j) + 4 hat (k) , then value of vec (a). vec(b) is -

Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i+ hat j- hat kdot Then find [vec a vec b vec c]

Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b= hat i+2 hat j-4 hat kdot Find the unit vector in the direction of the resultant vector.

If vec A=4 hat i+6 hat j and vec B=3 hat j+4 hat k , then find the component of vec A along vec B

If vec (a) = 2 hat (i) - hat (j ) and vec (b) = 3 hat (i) - 2 hat (j) + 4 hat (k) , then the value of vec (a) xx vec (b) is -

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. A man travelling towards east at 8km/h finds that the wind seems to...

    Text Solution

    |

  2. OABCDE is a regular hexagon of side 2 units in the XY-plane in the ...

    Text Solution

    |

  3. If vec a=7 hat i-4 hat j-4 hat k and vec b=-2 hat i- hat j+2 hat k , ...

    Text Solution

    |

  4. Find a unit vector vec c if vec -i+vec j-vec k bisects the angle betw...

    Text Solution

    |

  5. The vectors 2 hat i+3 hat j ,5 hat i+6 hat j and 8 hat i+lambda hat j ...

    Text Solution

    |

  6. If vec a , vec b and vec c are three non-zero vectors, no two of whic...

    Text Solution

    |

  7. Check whether the given three vectors are coplanar or non-coplanar. -2...

    Text Solution

    |

  8. Prove that the four points 6 hat i-7 hat j ,16 hat i-19 hat j-4 hat k ...

    Text Solution

    |

  9. Show, by vector methods, that the angularbisectors of a triangle are c...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |