Home
Class 12
MATHS
If vectors vec A B=-3 hat i+4 hat ka n ...

If vectors ` vec A B=-3 hat i+4 hat ka n d vec A C=5 hat i-2 hat j+4 hat k` are the sides of a` triangleA B C ,` then the length of the median through `Ai s` a. `sqrt(14)` b. `sqrt(18)` c. `sqrt(29)` d. `sqrt(5)`

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 the vector vec(AB) = 3hat(i) + 4hat(k) and vec(AC) = 5hat(i) - 2hat(j) + 4hat(k) are the sides of a triangle ABC, then the length of the median through A is-

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 =?

Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i+3 hat j-2 hat k

Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec U is a unit vector, then the maximum value of the scalar triple product [UVW] is a. -1 b. sqrt(10)+sqrt(6) c. sqrt(59) d. sqrt(60)

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]

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 vectors vec a= hat i+2 hat j- hat k , vec b=2 hat i- hat j+ hat k and vec c=lambda hat i+ hat j+2 hat k are coplanar, then find the value of (lambda-4) .

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

Two adjacent sides of a parallelogram A B C D are 2 hat i+4 hat j-5 hat k and hat i+2 hat j+3 hat k . Then the value of |A CxxB D| is a. 20sqrt(5) b. 22sqrt(5) c. 24sqrt(5) d. 26sqrt(5)

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If vec aa n d vec b are two unit vectors and theta is the angle betwe...

    Text Solution

    |

  2. A B C D is a quadrilateral. E is the point of intersection of th...

    Text Solution

    |

  3. If vectors vec A B=-3 hat i+4 hat ka n d vec A C=5 hat i-2 hat j+4 ha...

    Text Solution

    |

  4. A B C D parallelogram, and A1a n dB1 are the midpoints of sides B Ca n...

    Text Solution

    |

  5. The position vectors of the points Pa n dQ with respect to the ori...

    Text Solution

    |

  6. A point O is the centre of a circle circumscribed about a triangleA ...

    Text Solution

    |

  7. If G is the centroid of triangle A B C ,t h e n vec G A+ vec G B+ vec ...

    Text Solution

    |

  8. Let A B C be triangle, the position vectors of whose vertices are re...

    Text Solution

    |

  9. If | vec a+ vec b|<| vec a- vec b|, then the angle between vec aa...

    Text Solution

    |

  10. ' I ' is the incentre of triangle A B C whose corresponding sides are ...

    Text Solution

    |

  11. Let x^2+3y^2=3 be the equation of an ellipse in the x-y plane. Aa n dB...

    Text Solution

    |

  12. Locus of the point P, for which vec(OP) represents a vector with direc...

    Text Solution

    |

  13. If vec xa n d vec y are two non-collinear vectors and A B C isa trian...

    Text Solution

    |

  14. If hat i-3 hat j+5 hat k bisects the angle between hat a and - hat ...

    Text Solution

    |

  15. If 4 hat i+7 hat j+8 hat k ,2 hat i+3 hat j+4hat ja n d2 hat i+5 hat j...

    Text Solution

    |

  16. If vec b is a vector whose initial point divides thejoin of 5 hat i...

    Text Solution

    |

  17. Find the value of lambda so that the points P ,Q ,R and S on the sides...

    Text Solution

    |

  18. A uni-modular tangent vector on the curve x=t^2+2,y=4t-5,z=2t^2-6 at...

    Text Solution

    |

  19. If vec xa n d vec y are two non-collinear vectors and a, b, and c r...

    Text Solution

    |

  20. The position vectors of points Aa n dB w.r.t. the origin are vec a=...

    Text Solution

    |