Home
Class 12
MATHS
Consider the vectors veca = hat i + 3 ha...

Consider the vectors `veca = hat i + 3 hat j + hat k` and `vec b = 2 hat i - hat j - hat k`.
(i) Find `vec a.vec b`
(ii) Find the angle between `vec a` and `vec b`.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 10.4|7 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 10.5|10 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise ADDITIONAL QUESTIONS FOR PRACTICE 10.2|13 Videos

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

Consider the vectors vec a = hat i - 7 hat j + 7 hat k, 3 hat i - 2 hat j + 2 hat k (a) Find vec a.vecb (b) Find the angle between vec a and vec b .

Consider the vectors vec a = hat i + 2 hat j - 3 hat k and vec b = 4 hat i - hat j + 2 hat k . (i) Find |vec a| and |vec b| . (ii) Find vec a. vec b (iii) Find the projections of vec a on vec b and vec b on vec a .

Find vec a . vec b , when vec a = hat i +3 hat j + hat k and vec b = 2 hat i - hat j - hat k

Find angle theta between the vectors vec a = hat i + hat j - hat k and vec b = hat i - hat j + hat k .

Consider the vectors vec a = 2 hat i + 2 hat j - 5 hat k and vec b= -hat i + 7 hat k (a).Find vec a + vec b . (b) Find a unit vector in the direction of vec a + vec b .

Find angle theta between the vectors vec a = hat i+ hat j- hat k and vec b= hat i- hat j + hat k

If vec a = hat i + 2 hat j - 3 hat k and vec b = 3 hat i - hat j + 2 hat k , then vec a + vec b and vec a - vec b are

Find vec a . vec b , When vec a = hat i + hat j + 2 hat k and vec b = 3 hat i +2 hat j - hat k

Find vec a. vec b , when vec a = hat i + hat j + 2 hat k and vec b = 3 hat i + 2 hat j - hat k .

Find veca. vec b when veca = 2 hat i + 2 hat j - hat k and vec b = 6 hat i - 3 hat j + 2 hat k .

NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-ADDITIONAL QUESTIONS FOR PRACTICE 10.3
  1. Find vec a. vec b, when vec a = hat i + hat j + 2 hat k and vec b = 3 ...

    Text Solution

    |

  2. Find the angle between the vectors veca and vecb such that |vec a| = |...

    Text Solution

    |

  3. Find veca. vec b when veca = 2 hat i + 2 hat j - hat k and vec b = 6 h...

    Text Solution

    |

  4. Find lambda if the vectors 5 hat i + 2 hat j - hat k and lambda hat i ...

    Text Solution

    |

  5. If vec a = 5 hat i - hat j - 3 hat k and vec b = hat i + 3 hat j - 5 ...

    Text Solution

    |

  6. Consider the vectors veca = hat i + 3 hat j + hat k and vec b = 2 hat ...

    Text Solution

    |

  7. Prove that the vectors 3 hat i + hat j + 3 hat k and hat i - hat k are...

    Text Solution

    |

  8. If A(0,1,1), B(3, 1,5) and C(0, 3, 3) are three points show that Delta...

    Text Solution

    |

  9. If vec a is a unit vector and (vec x - vec a).(vec x + vec a) = 8, the...

    Text Solution

    |

  10. Find the angle betweeen two vectors vec a and vec b with magnitudes 2 ...

    Text Solution

    |

  11. Find |vec a| and |vec b| if (vec a + vec b).(vec a - vec b) = 3 and 2|...

    Text Solution

    |

  12. Find |vec a - vec b|, if |vec a| = 4, vec b = 12 and vec a. vecb = 16.

    Text Solution

    |

  13. Find the magnitude of two vectors veca and vec b having the same magni...

    Text Solution

    |

  14. If theta is the angle between the unti vectors vec a and vec b , then...

    Text Solution

    |

  15. If vec a and vec b are two non- zero vectors such that | vec a + vec b...

    Text Solution

    |

  16. If vec a and vec b are two vectors such that vec a + vec b is perpen...

    Text Solution

    |

  17. If vec a and vec b are orthogonal vectors, prove that (vec a + vec b...

    Text Solution

    |

  18. Consider the vectors vec a = hat i + 2 hat j - 3 hat k and vec b = 4 h...

    Text Solution

    |

  19. If vec a + vec b + vec c=0 and |vec a|=3, |vec b|=5, |vec c| =7, show ...

    Text Solution

    |

  20. (i) Write the scalar componets of 3 hat i - 2 hat j + 5 hat k. (ii) F...

    Text Solution

    |