Home
Class 12
MATHS
With the help of vector method, prove th...

With the help of vector method, prove that,`cosC=(a^2+b^2-c^2)/(2ab)`

Text Solution

Verified by Experts

The correct Answer is:
`(a^(2)+b^(2)-c^(2))/(2ab)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TYPE - III : TRUE RO FALSE QUESTIONS)|15 Videos
  • THREE DIMENSIONAL GEOMETRY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS:|56 Videos

Similar Questions

Explore conceptually related problems

With the help of vector method, prove that, cosB=(c^2+a^2-b^2)/(2ca)

With the help of vector method, prove that, cosA=(b^2+c^2-a^2)/(2bc)

Prove that, in any triangle ABC, cos C=(a^2+b^2-c^2)/(2ab) .

A, B, C and D are four points in space. Using vector methods, prove that AC^(2)+BD^(2)+AC^(2)+BC^(2)geAB^(2)+CD^(2) what is the implication of the sign of equality.

In DeltaABC, prove that cosA=(b^2+c^2-a^2)/(2b c) by vector method.

In any triangle ABC, then by vectors, prove that : c^2=a^2+b^2-2ab cos C .

In any triangle ABC, prove that : (cosA)/a+ (cosB)/b+(cosC)/c= (a^2+b^2+c^2)/(2abc) .

ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. If veca=2hati-2hatj+hatk , vecb=2hati-hatj+4hatk , and vecc=hati+2hatj...

    Text Solution

    |

  2. Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4ha...

    Text Solution

    |

  3. With the help of vector method, prove that,cosC=(a^2+b^2-c^2)/(2ab)

    Text Solution

    |

  4. With the help of vector method, prove that,cosA=(b^2+c^2-a^2)/(2bc)

    Text Solution

    |

  5. Prove that, in any triangle ABC, cos B=(c^2+a^2-b^2)/(2ca).

    Text Solution

    |

  6. Using vector method, prove that in a triangle, a=b cosC+ c cosB (proje...

    Text Solution

    |

  7. Use vectors to prove that in triangleABC : b=c cos A+a cos C.

    Text Solution

    |

  8. Prove that in any triangle ABC,c=a cos B+b cosA

    Text Solution

    |

  9. Using vector method, prove that the angle in a semi-circle is a right...

    Text Solution

    |

  10. Show that the diagonals of a rhombus bisect each other at right angle...

    Text Solution

    |

  11. If veca=hati-hatj+3hatk and vecb=2hati+3hatj-5hatk then find vecaxxvec...

    Text Solution

    |

  12. If |veca|=5,|vecb|=8 and veca.vecb=24, then find |vecaxxvecb|

    Text Solution

    |

  13. If |veca|=3,|vecb|=4 and veca.vecb=9 then find |vecaxxvecb|

    Text Solution

    |

  14. Find a vector of magnitude 9, which is perpendicular to both the vecto...

    Text Solution

    |

  15. Find a vector of magnitude 19, which is perpendicular to both the vect...

    Text Solution

    |

  16. Find a vector of magnitude 7 , which is perpendicular to both the vect...

    Text Solution

    |

  17. Determine the area of a parallelogram whose adjacent sides are represe...

    Text Solution

    |

  18. Find the area of a parallelogram whose adjacent sides are : 3hati-4h...

    Text Solution

    |

  19. Find the area of a parallelogram whose adjacent sides are veca=2hati-h...

    Text Solution

    |

  20. Find the area of the parallelogram whose adjacent sides are given by t...

    Text Solution

    |