Home
Class 12
MATHS
If vec (a) + vec(b) + vec (c ) = vec(0)...

If ` vec (a) + vec(b) + vec (c ) = vec(0)` and `|vec(a)| = 6 , |vec (b)| = 4 and |vec(c )| = 3 ` find the cosine of the angle between the vectors `vec(b) and vec(c )`

Promotional Banner

Topper's Solved these Questions

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Exercise 2A ( Long answer type questions)|16 Videos

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Exercise 2B ( Short answer type questions)|20 Videos

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Exercise 2A (Very Short aanswer type questions)|35 Videos

  • PROBABILITY

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS|18 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos

Similar Questions

Explore conceptually related problems

If vec(a) + vec (b)+vec(c ) = vec (0) and |vec(a)| = 3 , |vec(b)| = 5 and |vec(c)| = 7 , , find the angle between the vectors vec(a) and vec(b)

If |vec(a)|= 3 , |vec(b)| = 4 and | vec (a) xx vec(b)|= 6 , then find the angle between the vectors vec(a) and vec(b)

If | vec(a)|= 4 , |vec(b)| = 2 sqrt(3) and |vec(a) xx vec(b)| = 12, then the angle between the vectors vec (a) and vec (b) is -

If vec | a| = sqrt(3) , |vec(b)| = 2 and vec(a) . vec(b) = sqrt(6) , then find angle between the vectors vec(a) and vec(b)

Three vectors vec(a),vec(b),vec (c ) are such that vec(a) + vec(b) + vec(c ) = vec(0) , if |vec(a)| = 1 |vec(b)| = 4 and |vec(c )|= 2 , then find the value of mu = (vec(a).vec(b) +vec(b).vec(c ) + vec(c ).vec(a))

Two vectors vec(a) and vec (b) are such that |vec(a).vec(b)| = |vec(a) xx vec(b)| , then find the angle between the vectors vec(a) and vec(b) .

If vec(a) + vec(b) + vec (c ) = vec(0) , show that vec(a) xx vec(b) = vec(b) xx vec(c ) = vec(c ) xx vec(a)

The vectors vec(a),vec(b),vec (c ) are such that vec(a) + vec(b) + vec ( c ) = vec(0) . If |vec(a)| = 3 , |vec(b)|= 4 and |vec(c )|= 5 , show that vec(a).vec(b) +vec(b) .vec(c ) + vec (c ) . vec(a) = - 25

If vec a,vec b, vec c be three vectors such that vec a+vec b+vec c=0 , |veca|=3 , |vecb|=5 and |vecc|=7 find the angle between the vectors veca and vec b .

If two vectors vec(a) and vec (b) are such that |vec(a) . vec(b) | = |vec(a) xx vec(b)|, then find the angle the vectors vec(a) and vec (b)

CHHAYA PUBLICATION-PRODUCTS OF TWO VECTORS-Exercise 2A ( Short answer type questions)
  1. Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - h...

    Text Solution

    |

  2. Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - h...

    Text Solution

    |

  3. In each of the following find a unit a vector perpendicular to both v...

    Text Solution

    |

  4. In each of the following find a unit a vector perpendicular to both v...

    Text Solution

    |

  5. In each of the following find a unit a vector perpendicular to both v...

    Text Solution

    |

  6. In each of the following find a unit a vector perpendicular to both v...

    Text Solution

    |

  7. If vec(a) = hat (i) + hat (j) - hat (k) , vec (b) = 2 hat (i) - 2 hat ...

    Text Solution

    |

  8. If vec(a) = hat (i) + hat (j) - hat (k) , vec (b) = 2 hat (i) - 2 hat ...

    Text Solution

    |

  9. Be vector method show that the points (2,-3,4),(-2,1,0)and (1,-2,3) ar...

    Text Solution

    |

  10. If vec(alpha) = 2 hat (i) + hat (j) - 3 hat (k) and vec(beta) = hat (i...

    Text Solution

    |

  11. If vec (a) + vec(b) + vec (c ) = vec(0) and |vec(a)| = 6 , |vec (b)| ...

    Text Solution

    |

  12. Prove that , (vec(a) - vec(b)) xx (vec(a) + vec(b)) = 2 ( vec(a) ...

    Text Solution

    |

  13. Prove that , ( vec(a) xx vec(b))^(2) + (vec (a).vec(b))^(2) = |ve...

    Text Solution

    |

  14. Prove that , vec(a) xx ( vec (b) + vec(c)) + vec(b) xx (vec(c) + ...

    Text Solution

    |

  15. Given that vec(a) . vec(b) = 0 and vec(a) xx vec(b) = vec(0) . What ...

    Text Solution

    |

  16. If vec(a) + vec(b) + vec (c ) = vec(0) , show that vec(a) xx vec(b) =...

    Text Solution

    |

  17. Find the value of [ (hat (k)xx hat (j)).hat(i)+hat(j).hat (k)]

    Text Solution

    |

  18. The three vertices of the triangle ABC are A(2,3,5) B(3,5,8) and C(2,...

    Text Solution

    |

  19. Find a unit vector perpendicular to both the vector vec(a) = 2 hat(i)...

    Text Solution

    |

  20. Find a unit vector perpendicular to each of the vectors vec(a) + vec(b...

    Text Solution

    |