Home
Class 12
MATHS
If veca, vecb, vecc are unit vectors suc...

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`

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    PSEB|Exercise Exercise|82 Videos

  • THREE DIMENSIONAL GEOMETRY

    PSEB|Exercise Exercise|77 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If veca,vecb and vecc are three unit vectors such that veca*vecb=veca*vecc=0 and angle between vecb and vecc is pi/6 , prove that veca=+-2(vecb xxvecc) .

If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(veccxxvecd)=1 and veca.vecc=1/2, then

If veca,vecb,vecc are three vectors such that : |veca|=5,|vecb|=12 and |vecc|=13 and veca+vecb+vecc=vec0 , find the value of veca*vecb+vecb*vecc+vecc*veca .

If veca + vecb + vecc = 0 and |veca|=3,|vecb|= 5,|vecc|=7,then find the value of veca.vecb + vecb.vecc + vecc.veca .

PSEB-VECTOR ALGEBRA-Exercise
  1. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

    Text Solution

    |

  2. If veca cdot veca = 0 and veca cdot vecab = 0, then what can be concl...

    Text Solution

    |

  3. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, find...

    Text Solution

    |

  4. If either vector veca = 0or vecb = 0, then veca cdot vecb = 0.But the...

    Text Solution

    |

  5. If the vertices A, B, C of a triangle ABC are (1,2,3), (-1,0,0), (0,1,...

    Text Solution

    |

  6. Show that the points A(1,2,7), B(2,6,3) ਅਤੇ C(3,10,-1) are collinear.

    Text Solution

    |

  7. Show that the points A(2veci-vecj+veck), B(veci-3vecj-5veck), C(3veci-...

    Text Solution

    |

  8. If veca is a nonzero vector of magnitude 'a' and lambda a nonzero s...

    Text Solution

    |

  9. Find |vecaxxvecb|, if veca = veci - 7vecj + 7veck and vecb = 3veci - 2...

    Text Solution

    |

  10. Find a unit vector perpendicular to each of the vector veca + vecb and...

    Text Solution

    |

  11. If a unit vector veca, makes angles pi/3with hati, pi/4wih hatj and...

    Text Solution

    |

  12. Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb)

    Text Solution

    |

  13. lambda ਅਤੇ mu ਪਤਾ ਕਰੋ, ਜੇਕਰ (2veci+6vecj+27veck)xx(veci+lambdavecj+muv...

    Text Solution

    |

  14. Given that veca cdot vecb = 0 and vecaxxvecb = vec0. What can you conc...

    Text Solution

    |

  15. Let the vectors veca, vecb, vecc be given as veca1hati + veca2hatj + v...

    Text Solution

    |

  16. If either veca = vec0or vecb = vec0 then vecaxxvecb= vec0. Is the con...

    Text Solution

    |

  17. Find the area of the triangle with vertices A(1,12), B(2,3,5), C(1,5,5...

    Text Solution

    |

  18. Find the area of the parallelogram whose adjacent sides are determined...

    Text Solution

    |

  19. Let the vectors veca and vecb be such that |veca| = 3 and |vecb| = sqr...

    Text Solution

    |

  20. Area of a rectangle having vertices A, B, C and D with position vector...

    Text Solution

    |