Home
Class 12
MATHS
Find the angle between veca and vecb if ...

Find the angle between `veca` and `vecb` if `|vecaxxvecb|` = `veca.vecb`

Text Solution

Verified by Experts

`|vecaxxvecb|` = `veca.vecb`
`implies |veca||vecb|sintheta` = `|veca||vecb|cos theta`
`implies sintheta` = `costheta`
`implies theta` = `pi/4`
therefore Angle between `veca` and `vecb` = `theta` = `pi/4`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

What is the angle between veca and vecb if abs(veca+vecb)=abs(veca-vecb) ?

|veca| = |vecb| = veca = vecb .

Write the angle between veca and vecb with magnitude sqrt5 and 2 respectively having veca . vecb = sqrt10 .

If veca=hati+2hatj-3hatkand vecb=3hati-hatj+2hatk ,then find the angle between veca+vecb and veca-vecb.

Write the angle between veca and vecb with magnitude sqrt3 and sqrt2 respectively having veca.vecb=sqrt6 .

Let veca and vecb be two unit vector and alpha be the angle between them and veca+vecb is unit vector. Find alpha .

What is the angle between two vectors veca and vecb with magnitude 2 and1 respectively such that veca.vecb =sqrt3 .

Find veca*(vecaxxvecb).

MBD PUBLICATION-VECTORS-QUESTION BANK
  1. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

    Text Solution

    |

  2. Prove that [vecaxxvecbvecbxxveccveccxxveca] = [vecavecbvecc]^2

    Text Solution

    |

  3. For veca = hati+hatj, vecb = -hati+2hatk, vecc = hatj+hatk, obtain vec...

    Text Solution

    |

  4. Prove that vecaxx(vecbxxvecc)+ vecbxx(veccxxveca)+veccxx(vecaxxvecb) =...

    Text Solution

    |

  5. If veca, vecb, vecc be unit vectors and vecaxx(vecbxxvecc) = 1/2hatb, ...

    Text Solution

    |

  6. Prove that the sum of the vectors directed from the vertices to the mi...

    Text Solution

    |

  7. Prove by vector method that the diagonals of a quadrilateral bisect ea...

    Text Solution

    |

  8. If G is the centroid of a triangle ABC, prove that vec(GA)+vec(GB)+vec...

    Text Solution

    |

  9. If M is the midpoint of the side vec(BC) of a triangle ABC, prove that...

    Text Solution

    |

  10. If veca and vecb are unit vectors represented by the adjacent sides of...

    Text Solution

    |

  11. If the points with position vectors 10hati+3hatj, 12hati-5hatj and aha...

    Text Solution

    |

  12. Prove that the four points with position vectors 2veca+3vecb-vecc, vec...

    Text Solution

    |

  13. For any vector vecr = xhati+yhatj+zhatk, prove that vecr = (vecr.hati)...

    Text Solution

    |

  14. If two vectors veca and vecb are such that |veca| = 3, |vecb| = 2 and ...

    Text Solution

    |

  15. If veca makes equal angles with hati, hatj and hatk and has magnitude ...

    Text Solution

    |

  16. If veca,vecb,vecc are such that veca.vecb = veca.vecc then show that v...

    Text Solution

    |

  17. If veca+vecb+vecc = vec0, |veca| = 3 , |vecb| = 5 and |vecc| = 7, find...

    Text Solution

    |

  18. If veca,vecb,vecc are unit vectors such that veca+vecb+vecc = vec0, fi...

    Text Solution

    |

  19. Find the angles which the vector veca = hati-hatj+sqrt2 hatk makes wit...

    Text Solution

    |

  20. Find the angle between veca and vecb if |vecaxxvecb| = veca.vecb

    Text Solution

    |