Home
Class 12
MATHS
If the sum of two unit vectors is a unit...

If the sum of two unit vectors is a unit vector, prove that the magnitude of their difference is `sqrt(3)`.

Promotional Banner

Topper's Solved these Questions

  • VECTOR

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION|18 Videos
  • VECTOR

    CHHAYA PUBLICATION|Exercise EXERCISE - SHORT ANSWER TYPE QUESTIONS|17 Videos
  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

If the sum of two unit vectors is a unit vector then show that the magnitude of their difference is sqrt(3)

answer any one question 2. if sum of two unit vectors be a unit vector , then show that diff. of those two vwctros is sqrt 3 .

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors , the angle between these vectors is

Write two different vectors having the same magnitude.

If the magnitude of difference of two unit vectors is sqrt3 , then show that the sum of the vectors is also a unit vector.

what are orthogonal unit vectors ?

Can the magnitude of the resultant of two vectors of equal magnitude be equal to the magnitude of each vector ? Explain.

CHHAYA PUBLICATION-VECTOR-EXERCISE - LONG ANSWER TYPE QUESTIONS
  1. If vec(a)=hat(i)+hat(j)+hat(k), vec(b)=2hat(i)-hat(j)+3hat(k) " and " ...

    Text Solution

    |

  2. By vector method, show that the four points (7, 2, -3), (6, 1, 4), (-3...

    Text Solution

    |

  3. Find a unit vector in direction parallel to the sum of the vectors vec...

    Text Solution

    |

  4. If vec(a)=2hat(i)-2hat(j)+hat(k), vec(b)=2hat(i)+3hat(j)+6hat(k) " and...

    Text Solution

    |

  5. The vectors vec(a) " and " vec(b) are non-collinear. Find for what val...

    Text Solution

    |

  6. Given that the points with position vectors 12hat(i)-5hat(j), 10hat(i)...

    Text Solution

    |

  7. The vectors vec(a) " and " vec(b) are non-collinear. If vec(p)=(x+4y)v...

    Text Solution

    |

  8. If the sum of two unit vectors is a unit vector, prove that the magnit...

    Text Solution

    |

  9. ABCDEF is a regular hexagon. If vec(CD)=vec(a), vec(DE)=vec(b), " find...

    Text Solution

    |

  10. bar(AC) " and " bar(BD) are the diagonals of the parallelogram ABCD. P...

    Text Solution

    |

  11. By vector method show that the figure formed by joining the mid-points...

    Text Solution

    |

  12. Defination : Unit vector

    Text Solution

    |

  13. ABCD is a parallelogram and P is the midpoint of the side bar(BC). Pro...

    Text Solution

    |

  14. ABCD is a parallelogram, P and Q are the mid-points of the sides bar(A...

    Text Solution

    |

  15. ABCD is a parallelogram and P is the mid-point of bar(DC). If Q is a p...

    Text Solution

    |

  16. D, E, F are the midpoints of the sides bar(BC), bar(CA) " and " bar(AB...

    Text Solution

    |

  17. C is the midpoint of the line segment bar(AB) and O is any point outsi...

    Text Solution

    |

  18. G is a point inside the plane of the triangle ABC, if vec(GA)+vec(GB)+...

    Text Solution

    |

  19. The diagonals of the parallelogram ABCD intersect at E. If vec(a), vec...

    Text Solution

    |

  20. By vector method prove that the straight line joining the midpoints of...

    Text Solution

    |