Home
Class 12
MATHS
If vec a = i +j and vec b = j-k then the...

If `vec a = i +j` and `vec b = j-k` then the angle between `vec a + vec b` and `vec a - vec b` is

A

`0^(o)`

B

`45^(o)`

C

`60^(o)`

D

`90^(o)`

Text Solution

Verified by Experts

The correct Answer is:
D
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 = 2i-3j and vec b = 2i+3k then, (vec a + vec b). (vec a - vec b)

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, then angle between vec a and vec b for sqrt(3)vec a - vec b to be unit vector is

If vec a = i-j+k and vec b = 2i+j-k then |2 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 = j-k and vec c = i-j-k . Then the vector vec b satisfying vec a xx vec b + vec c = vec 0 and vec a. vec b = 3 is

If vec a = i-j, vec b = i+2k , then vec a . vec b =

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. If theta is the angle between vec a = 2i-j+k and vec b = i+2j+k, then ...

    Text Solution

    |

  2. I . (j xx k) + j . (k xx i) + k . (i xx j) =

    Text Solution

    |

  3. If vec a = i +j and vec b = j-k then the angle between vec a + vec b a...

    Text Solution

    |

  4. If vec a = i-j, vec b = i+2k, then vec a . vec b =

    Text Solution

    |

  5. If vec p, vec q, vec r are any three vectors, which of the following i...

    Text Solution

    |

  6. If 3i-5j + 7k and 2i+xj+2k are orthogonal then x =

    Text Solution

    |

  7. If vec a = i + 2j, vec b = j +2k, vec c = i+2k then vec a . (vec b xx ...

    Text Solution

    |

  8. If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec ...

    Text Solution

    |

  9. The three points whose position vectors are vec a - vec 2b + 3 vec c, ...

    Text Solution

    |

  10. If the points whose position vectors are 60i+3j, 40i-8j and li-52j are...

    Text Solution

    |

  11. If the vectors vec a = ki +3j and vec b = 4i + kj (k ne 0) are colline...

    Text Solution

    |

  12. If vec alpha and vec beta are two vectors such atht veca. vecb =0 and ...

    Text Solution

    |

  13. The vectors vec a + vec b + vec c, 2 vec a+ vec b + 3 vec c and vec a ...

    Text Solution

    |

  14. If vec a and vec b are mutually perpendicular unit vectors, then (3 ve...

    Text Solution

    |

  15. If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec ...

    Text Solution

    |

  16. If vec a, vec b, vec c are non coplanar vectors such that, vec b xx ve...

    Text Solution

    |

  17. If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec ...

    Text Solution

    |

  18. Let vec(a) = hat(i) - 2hat(j) +3hat(k) . If vec(b) is a vector such ...

    Text Solution

    |

  19. If vec a = 2i-3j and vec b = 2i+3k then, (vec a + vec b). (vec a - vec...

    Text Solution

    |

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

    Text Solution

    |