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)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

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

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos

  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

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+ hat j+ hat ka n d vec b= hat i-2 hat j+ hat k , then find vector vec c such that vec adot vec c=2a n d 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

If vec a= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b=5 and vec ax vec b= vec c , then vec b is equal to

Find vec adot vec b when: vec a= hat i-2 hat j+ hat k\ a n d\ vec b=4 hat i-4 hat j+7 hat k

Let vec a=5 hat i- hat j+7 hat k and vec b= hat i- hat j+lambda hat k . Find lambda such that vec a+ vec b is orthogonal to vec a- vec bdot

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

For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + hat j - hat k , find the unit vector in the direction of the vector vec a + vec b .

If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and vec c= hat i+2 hat j- hat k , find |3 vec a-2 hat b+4 hat c|dot

If vec a= hat i+ hat j+ hat k ,\ vec b=2 hat i- hat j+3 hat k\ a n d\ vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec c

CENGAGE ENGLISH-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 2i+3 hat j ,5 hat i+6 hat j and 8 hat i+lambda hat j have ...

    Text Solution

    |

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

    Text Solution

    |

  7. i. Prove that the points vec a-2vec b+3vec c, 2vec a+3vec b-4vec ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If vec a and vec b are two non-collinear vectors, show that points l1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |