Home
Class 12
MATHS
find |veca|,|vecb| if (veca+vecb).(veca-...

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

Text Solution

Verified by Experts

The correct Answer is:
`=sqrt((8)/(63))`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.4)|12 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.5)|7 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.2)|19 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

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

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

If |veca|=|vecb| , then (veca+vecb).(veca-vecb) is equal to

|veca pm vecb|^2 = |veca|^2 + |vecb|^2 pm 2|veca||vecb|cos theta and (veca + vecb).(veca - vecb) = |veca|^2 - |vecb|^2

Prove that: |(veca+vecb)xx(veca-vecb)|=2ab if veca_|_vecb

If |veca+vecb|=|veca-vecb| show that veca_|_vecb .

Find veca.vecb if |veca|2, |vecb|=5,a and |vecaxxvecb|=8

If |veca + vecb| =60 |veca-vecb|=40 and |vecb| = 46 find |veca|

For two vectors veca and vecb,veca,vecb=|veca||vecb| then (A) veca||vecb (B) veca_|_vecb (C) veca=vecb (D) none of these

Find |veca-vecb| , if two vector veca and vecb are such that |veca|=4,|vecb|=5 and veca.vecb=3

MODERN PUBLICATION-VECTOR ALGEBRA -Ncert File Question from Ncert Book (Exercise 10.3)
  1. Find the angle between two vectors veca and vecb with magnitudes sqrt(...

    Text Solution

    |

  2. Find the angle between the vectors hat i-2 hat j+3 hat ka n d3 hat...

    Text Solution

    |

  3. Find the projection of the vector hat i- hat jon the vector hat i+ ...

    Text Solution

    |

  4. Find the projection of the vector hat i+3 hat j+7 hat kon the vector...

    Text Solution

    |

  5. Show that each of the given three vectors is a unit vector: 1/7(2 hat...

    Text Solution

    |

  6. find |veca|,|vecb| if (veca+vecb).(veca-vecb)=8 and |veca|=8|vecb|

    Text Solution

    |

  7. Evaluate the product (3vec(a)-5vec(b)).(2vec(a)+7vec(b)).

    Text Solution

    |

  8. Find the magnitude of two vectors vec a\ a n d\ vec b having the sam...

    Text Solution

    |

  9. Find |vec(x)|, if for a unit vector vec(a), (vec(x)-vec(a)).(vec(x)+ve...

    Text Solution

    |

  10. If vectors veca = 2hati + 2hatj +3hatk,vec b=-hati+2hatj+hatk and vec ...

    Text Solution

    |

  11. Show that |vec(a)|vec(b)+|vec(b)|vec(a) is perpendicular to |vec(a)|v...

    Text Solution

    |

  12. If vec a\ dot\ vec a=0 and vec a\ dot\ vec b=0, then what can be c...

    Text Solution

    |

  13. If vec a ,\ vec b ,\ vec c are unit vectors such that vec a+ vec b...

    Text Solution

    |

  14. If either vec a= vec0\ or\ vec b= vec0\ t h e n\ vec adot vec b= ve...

    Text Solution

    |

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

    Text Solution

    |

  16. Show that the points A(1, 2, 7), B(2, 6, 3) and C(3, 10 , 1)are colli...

    Text Solution

    |

  17. Show that the points, A, B and C having position vectors (2hat(i)-hat(...

    Text Solution

    |

  18. If vec a is a non zero vector a magnitude ' a^(prime)\ a n d\ lambda ...

    Text Solution

    |