Home
Class 12
MATHS
Find the sine of the angle between the v...

Find the sine of the angle between the vectors :
`2 hat i+ 4 hat j+ 4 hat k` and `2 hat i- 7 hat j+ hat k`.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the vectors 2 hat i -hat j+ hat k and 3 hat i +4hat j - hat k

Find the angle between the vectors 3 hat i-2 hat j -6 hat k and 4 hat i-hat j-8 hat k .

Find the angle between the vectors hat i -2 hatj +3 hat k and 3 hat i -2 hat j +hat k .

Find the sine of the angle between the vectors vec a =3 hat i+hat j+2 hat k and vec b =2hat i-2 hat j+4 hat k .

Find the angle between the vectors hat i + hat j-hat k and hat i-hat j+hat k .

Find the angle between the vectors hat i +hat j and hat i -hat j

Find the angle between the vectors hat i-hat j and hat j-hat k .

The sides of a parallelogram represent the vectors 2 hat i- 4 hat j+ 5 hat k and hat i- 2 hat j-3 hat k . Find the unit vectors parallel to its diagonals.

Show that the vectors 2 hat i -3 hat j +4 hat k and -4 hat i +6 hat j -8 hat k are collinear.

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find a unit vector perpendicular to each of the vectors hat i+2 hat j+...

    Text Solution

    |

  2. Find the sine of the angle between the vectors : (3,0,3) and (1,2,-7)

    Text Solution

    |

  3. Find the sine of the angle between the vectors : 2 hat i+ 4 hat j+ 4 ...

    Text Solution

    |

  4. Determine the area of the parallelogram whose adjacent sides are the ...

    Text Solution

    |

  5. Find the area of the parallelogram having two adjacent sides OA and OB...

    Text Solution

    |

  6. Find the area of triangle PQR where P,Q,R have respectively coordinate...

    Text Solution

    |

  7. Find the area of the triangle formed by O,A,B where : vec OA= hat i+ ...

    Text Solution

    |

  8. Find the area of the triangle formed by O,A,B where : vec OA= 3 hat i...

    Text Solution

    |

  9. If vec axx vec b= vec cxxvec d and vec axx vec c= vec bxxvec d, show t...

    Text Solution

    |

  10. Find the area of the triangle ABC where A,B,C are the points (a,0,0), ...

    Text Solution

    |

  11. Find the area of the triangle having the points A(1,1,1), B(1,2,3) and...

    Text Solution

    |

  12. If vec a= 2 hat i+ hat j- hat k, vec b= -hat i+ 2 hat j- 4 hat k and v...

    Text Solution

    |

  13. Calculate the product ((hat i- 2 hat j+ 3 hat k) cross (2 hat i+ hat j...

    Text Solution

    |

  14. If vec a= hat i- 2 hat j+ hat k, vec b= 2 hat i - hat j+ hat k and vec...

    Text Solution

    |

  15. Define the vector product of two vectors vec a and vec b. If vec a = 2...

    Text Solution

    |

  16. If vec a= 2 hat i+ 5 hat j- 7 hat k, vec b= -3 hat I + 4 hat j+ hat k ...

    Text Solution

    |

  17. If G is the centroid of triangle ABC, prove that area triangle AGB = ...

    Text Solution

    |

  18. If D, E, f are the mid-point of the sides of triangle ABC, prove that ...

    Text Solution

    |

  19. Using vectors prove that sin(alpha - beta)= sin alpha cos beta- cos al...

    Text Solution

    |

  20. If vec a= 2 hat i+ 3 hat j+ 6 hat k, vec b= 3 hat i- 6 hat j+ 2 hat k ...

    Text Solution

    |