Home
Class 12
MATHS
If veca and vecb are unit vectors and ve...

If `veca` and `vecb` are unit vectors and `veca+vecb` is also a unit vector, then write the measure of the angle between `veca` and `vecb`

Text Solution

Verified by Experts

The correct Answer is:
`(2pi)/(3)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Questions for Practice (Part II Scalar (or dot) Product of Two Vectors) Short Answer Type Questions|9 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Questions for Practice (Part II Scalar (or dot) Product of Two Vectors) Long Answer Type Questions|1 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Questions for Practice (Part I Basic Concepts) Short Answer Type Questions|10 Videos

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Chapter Practice|34 Videos

Similar Questions

Explore conceptually related problems

If veca and vecb are unit vectors such that vecaxxvecb is a unit vector, then the angle between veca and vecb is ____

If veca=2vecb and vecc=-3vecb , then what is the angle between veca and vecc ?

Let the vectors veca and vecb such that abs(veca)=3 and abs(vecb)=frac[sqrt2][3] . If vecatimesvecb is a unit vector, then find the angle between veca and vecb .

When vecR = vecA xx vecB what is the angle between vecR and vecB ?

What is angle between vector vecA and -vecA ?

If |veca +vecb| = |veca|+|vecb| then what is the angle between veca andvec b

If abs(veca+vecb)=abs(veca-vecb) then what is the angle between veca and vecb ?

Vectors veca,vecb, vecc are such that veca + vecb + vecc = 0 and |veca| = 3, |vecb| = 5 and |vecc]= 7 . Find the angle between veca and vecb .

ARIHANT PUBLICATION-VECTOR ALGEBRA -Questions for Practice (Part II Scalar (or dot) Product of Two Vectors) Very Short Answer Type Questions
  1. Write the angle between vectors vec(a) and vec(b) with magnitude sqrt(...

    Text Solution

    |

  2. If veca and vecb are unit vectors and veca+vecb is also a unit vector,...

    Text Solution

    |

  3. Find |vec(a) - vec(b)|, if two vectors vec(a) and vec(b) are such that...

    Text Solution

    |

  4. If hat(a) is a unit vector and (vec(x) - hat(a)).(vec(x) + hat(a)) = 8...

    Text Solution

    |

  5. If vec(a) and vec(b) are two vectors, such that |vec(a)| = 2, |vec(b)|...

    Text Solution

    |

  6. For any two vectors vec(a) and vec(b), we always have |vec(a).vec(b)| ...

    Text Solution

    |

  7. Write the value of lambda, so that the vectors vec(a) = 2hat(i) + lamb...

    Text Solution

    |

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

    Text Solution

    |

  9. If hat(a), hat(b) and hat(c ) are mutually perpendicular unit vectors,...

    Text Solution

    |

  10. If vec(a) = 2hat(i) + 2hat(j) + 3hat(k), vec(b) = -hat(i) + 2hat(j) + ...

    Text Solution

    |

  11. If vec(a) and vec(b) are two vectors such that |vec(a) + vec(b)| = |ve...

    Text Solution

    |

  12. Find the projection of the vector hat(i) + 3hat(j) + 7hat(k) on the ve...

    Text Solution

    |

  13. Find the component of the vector vec(b) = 8hat(i) + hat(j) in the dire...

    Text Solution

    |

  14. Determine the value of m, for which the following vectors are orthogon...

    Text Solution

    |

  15. For what value of lambda, the vectors lambda hat(i) + 3hat(j) + lambda...

    Text Solution

    |

  16. Find the scalar projection of the vector veca = 3hati+6hatj + 9hatk on...

    Text Solution

    |

  17. What is the angle between the vectors 2hat(i) - hat(j) - hat(k) and ha...

    Text Solution

    |