Home
Class 12
MATHS
If vec a and vec b are vectors such that...

If `vec a` and `vec b` are vectors such that `|vec a + vec b| = |vec a - vec b|`, then the angle between `vec a` and `vec b` is

A

`+- (vec B xx vec C)`

B

`+-(vec B xx vec C)`

C

`+-(vec B xx vec A)`

D

`vec 0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

If |vec a - vec b| = |vec a| = |vec b| =1 then the angle between vec a and vec b is

If vec a and vec b are unit vectors such that |vec a + vec b| =1, then |vec a - vec b| =

If vec a. vec b = ~ |vec a||vec b| then angle between vec a and vec b is

If vec a and vec b are unit vectors such that |vec a xx vec b| = vec a . vec b , then |vec a + vec b|^(2) =

If 2 vec a . vec b = |vec a|.|vec b| then the between vec a and vec b is

If |vec(a) + vec(b)| = |vec(a) - vec(b)| then

If vec a and vec b are unit vectors |vec a xx vec b| =1 then the angle between vec a and vec b is

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. Find the area of the parallelogram whose adjacent sides are determined...

    Text Solution

    |

  2. If f(x) is a ploynomial function satisfying f(x) . f(1/x) = f(x) + f(1...

    Text Solution

    |

  3. If vec a and vec b are vectors such that |vec a + vec b| = |vec a - ve...

    Text Solution

    |

  4. If vec a, vec b and vec c are non coplanar unit vectors such that vec ...

    Text Solution

    |

  5. (vec r . i) (vec r xx i) +(vec r .j) (vec r xx j)+ (vec r . k)(vec r x...

    Text Solution

    |

  6. The number of vectors of unit length perpendicular to the vectors vec ...

    Text Solution

    |

  7. If |vec a| = 4 and -3 le lambda le 2, then the range of |lambda vec a|...

    Text Solution

    |

  8. If vec a, vec b, vec c are three vectors such that vec a + vec b + vec...

    Text Solution

    |

  9. Projection vectors vec a on vec b is

    Text Solution

    |

  10. The vectors lambda i + j +2k, i + lambda j - k, 2i-j+ lambda k are cop...

    Text Solution

    |

  11. If |vec a| = 10, |vec b| = 2 and vec a . vec b = 12 then the value of ...

    Text Solution

    |

  12. For any vector vec a, the value of (vec a xx i)^(2) + (vec a xx j)^(2)...

    Text Solution

    |

  13. The vectors from origin to the point A and B are, vec a = 2i-3j+2k, ve...

    Text Solution

    |

  14. The value of lambda for which the vectors 3i-6j+k and 2i-4j+lambda k a...

    Text Solution

    |

  15. Find the value of lambda such that the vectorsvec a = 2i + lambda j+ k...

    Text Solution

    |

  16. The angle between two vectors vec a and vec b with magnitudes sqrt3 an...

    Text Solution

    |

  17. The vector having initial and terminal points as (2,5,0) and (-3,7,4) ...

    Text Solution

    |

  18. The position vector of the point which divides the join of points 2 ve...

    Text Solution

    |

  19. The vector in the direction of the vector i-2j+2k that has magnitude 9...

    Text Solution

    |

  20. If |vec a| =3 and -1 le k le 2, then |k vec a| lies in the interval

    Text Solution

    |