Home
Class 12
MATHS
If veca,vecb and vecc are three vectors ...

If `veca,vecb` and `vecc` are three vectors such that `|veca|=5,|vecb|=12,|vecc|=13` and `veca+vecb+vecc=0` then find the value of `veca.vecb+vecb.vecc+vecc.veca.`

Text Solution

Verified by Experts

The correct Answer is:
`=-169`
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 2

    ARIHANT PRAKASHAN|Exercise SECTION -C |13 Videos
  • VERY SIMILAR TEST 2

    ARIHANT PRAKASHAN|Exercise SECTION -C |13 Videos
  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION C (30 MARKS)|25 Videos
  • VERY SIMILAR TEST 4

    ARIHANT PRAKASHAN|Exercise Section - C |13 Videos

Similar Questions

Explore conceptually related problems

If abs(veca)=3,abs( vecb)=1,abs(vecc)=4 and veca+vecb+vecc=0, find the value of veca*vecb+vecb*vecc+vecc*veca.

If veca=vecb+vecc, then write the value of veca*(vecbxxvecc).

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc = vec0 , find the value of veca.vecb+vecb.vecc+vecc.veca .

If veca,vecb and vecc are three vectors such that veca x vecb = vecc and vecb x vecc = veca , then prove that veca,vecb and vecc are mutually at right angles and |vecb| = 1,|vecc| = |veca|

If veca,vecb and vecc are three vectors such that |veca|= 3,|vecb|= 4 and |vecc|= 5 and each one of these is perpendicular to the sum of other two, then find |veca + vecb+ vecc| .

If abs(veca)=3,abs(vecb)=2 and veca*vecb=0 , then write the value of abs(vecaxxvecb) .

If veca.vecb = vecc.veca for all vectors veca , then

If veca , vecb and vecc are non-zero vectors, then vecaxxvecb = vecaxxvecc

If two vectors veca and vecb are such that |veca| = 3, |vecb| = 2 and veca.vecb = 6, find |veca+vecb| and |veca-vecb| .

ARIHANT PRAKASHAN-VERY SIMILAR TEST 2 -SECTION -B
  1. If A=[a(ij)] is a square matrix such that a(ij)=i^(2)-j^(2) , the...

    Text Solution

    |

  2. If A(x(1), y(1)), B(x(2), y(2)), and, C(x(3), y(3)) are vertices of an...

    Text Solution

    |

  3. A random variable X has following probability distribution . Fin...

    Text Solution

    |

  4. A random variable X has following probability distribution . Fin...

    Text Solution

    |

  5. A random variable X has following probability distribution . Fin...

    Text Solution

    |

  6. A random variable X has following probability distribution . Fin...

    Text Solution

    |

  7. If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)), then show that (dy)/(d...

    Text Solution

    |

  8. Find the extreme points of the function f(x)=x^(2)sqrt(1-x^(2)). Als...

    Text Solution

    |

  9. Verify the LMVT for the function f(x)=(1)/(4x-1),1lexle4.

    Text Solution

    |

  10. Using differentials, find approximate value (255)^(1//4)

    Text Solution

    |

  11. Find the equations of all lines having slope -1, that are tangent to t...

    Text Solution

    |

  12. Evaluate int(1)/(sqrt(8+3x-x^(2)))dx.

    Text Solution

    |

  13. Evaluate int(0)^(pi//4)tan^(5)xdx.

    Text Solution

    |

  14. Find the area enclosed by the ellipse (x^(2))/(16)+(y^(2))/(9)=1.

    Text Solution

    |

  15. Form the differential equation of the family of circles having centr...

    Text Solution

    |

  16. If vec(a), vec(b) and vec(c) are three vectors such that vec(a) + vec(...

    Text Solution

    |

  17. If veca,vecb and vecc are three vectors such that |veca|=5,|vecb|=12,|...

    Text Solution

    |

  18. If veca,vecb are unit vectors such that the vector veca+3vecb is per...

    Text Solution

    |

  19. Find the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3...

    Text Solution

    |

  20. Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...

    Text Solution

    |