Home
Class 12
MATHS
Three vectors veca, vecb, vecc satisfy ...

Three vectors `veca, vecb, vecc` satisfy the condition `veca+vecb+vecc=vec0` Evaluate the quantity `mu = veca cdot vecb + vecb cdot vecc + vecc cdot veca` if `|veca| = 3, |vecb|=4, |vecc| = 2`

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0 , find the value of veca cdot vecb + vecb cdot vecc + vecc cdot veca

If the vectors veca,vecb and vecc satisfy the condition veca+vecb+vecc=vec0 and |veca|=2,|vecb|=4 and |vecc|=3 , then find the value of veca*vecb+vecb*vecc+vecc*veca .

For any three vectors veca,vecb,vecc show that veca-vecb,vecb-vecc,vecc-veca are coplanar.

The non-zero vectors veca,vecb and vecc are related by veca=8vecb and vecc=-7vecb . Then the angle between veca and vecc is :

If veca = vecb + vecc , then is it true that |veca| = |vecb| + |vecc| ? Justify your answer.

If veca,vecb,vecc are three vectors such that veca+vecb+vecc=vec0 and |veca|=2,|vecb|=3,|vecc|=5 the value of veca.vecb+vecb.vecc+vecc.veca is

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

Let vec a, vec b, vec c are three vectors such that veca .veca=vecb . vecb = vecc . vecc = 3 and |veca-vecb|^2+|vecb-vecc|^2+|vecc-veca|^2=27, then

MODERN PUBLICATION-VECTORS-Exercise
  1. If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=...

    Text Solution

    |

  2. Prove that (veca+vecb) cdot (veca+vecb) = |veca|^2 + |vecb|^2, if and ...

    Text Solution

    |

  3. Three vectors veca, vecb, vecc satisfy the condition veca+vecb+vecc=v...

    Text Solution

    |

  4. If the vectors veca,vecb and vecc satisfy the condition veca+vecb+vecc...

    Text Solution

    |

  5. The scalar product of the vector veca=hati+hatj+hatk with a unit vecto...

    Text Solution

    |

  6. If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...

    Text Solution

    |

  7. If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=...

    Text Solution

    |

  8. IF veca=3hati+hatj-4hatk,vecb=6hati+5hatj-2hatk and |vecc|=3, find the...

    Text Solution

    |

  9. If veca=hati+4hatj+2hatk , vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+...

    Text Solution

    |

  10. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

    Text Solution

    |

  11. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

    Text Solution

    |

  12. If veca=hati-hatj, vecb= 3hatj-hatk and vecc=7hati-hatk. Find a vector...

    Text Solution

    |

  13. Consider A(2,3,4),B(4,3,2) and C(5,2,-1) be any three points. Find the...

    Text Solution

    |

  14. Consider A(2,3,4),B(4,3,2) and C(5,2,-1) be any three points. Find the...

    Text Solution

    |

  15. Dot-product of a vector with vectors 3hati-5hatk,2hati+7hatj and hati+...

    Text Solution

    |

  16. If hati+hatj+hatk, 2hati+5hatj, 3hati+2hatj-3hatk and hati-6hatj-hatk ...

    Text Solution

    |

  17. If vecalpha=3hati+4hatj+5hatk and vecbeta=2hati+hatj-4hatk, then expre...

    Text Solution

    |

  18. Prove that the perpendicular from the vertices to the opposite sides (...

    Text Solution

    |

  19. Prove that in a right angled triangle the mid-point of the hypotenuse ...

    Text Solution

    |

  20. If two medians of a triangle are equal, prove that the triangle is iso...

    Text Solution

    |