Home
Class 12
MATHS
Find |veca| and |vecb|, if (veca+vecb)*(...

Find `|veca|` and `|vecb|`, if `(veca+vecb)*(veca-vecb)=8` and `|veca|=8|vecb|`.

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

Find |veca-vecb| , if two vectors veca and vecb are such that |veca|=2,|vecb|=3 and veca*vecb=4 .

If |veca|=3, |vecb|=1 and |veca+vecb|=|veca-vecb| , then |veca xx vecb| is:

Find |veca*vecb| , if |veca|=5,|vecb|=13 and |vecaxxvecb|=25 .

If vecc is normal to veca and vecb , show that vecc is normal to veca+vecb and veca-vecb .

The angle between veca and vecb if vecaxxvecb=veca*vecb is :

PSEB-VECTOR ALGEBRA-Exercise
  1. Show that the given vector is a unit vector: (1/7)(3hati - 6hatj + 2h...

    Text Solution

    |

  2. Show that the given vector is a unit vector: (1/7)(6veci + 2vecj - 3v...

    Text Solution

    |

  3. Find |veca| and |vecb|, if (veca+vecb)*(veca-vecb)=8 and |veca|=8|vecb...

    Text Solution

    |

  4. Evaluate the product (3 hata-5hatb) cdot(2hata+7hatb)

    Text Solution

    |

  5. Find the magnitude of two vectors veca and vecb, having the same magni...

    Text Solution

    |

  6. Find |vecx|, if for a unit vector veca, (vecx - veca)cdot(vecx+veca)...

    Text Solution

    |

  7. If veca = 2veci + 2vecj + 3veck, vecb = -veci + 2vecj + veck and vecc ...

    Text Solution

    |

  8. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |