Home
Class 12
MATHS
Let u,v,w be such that |u| = 1, |v| = 2,...

Let u,v,w be such that |u| = 1, |v| = 2, |w| = 3. If the projection v along u is equal to that w along u and v,w are prependicular to each other then |u - v + w| =

A

1

B

14

C

`sqrt(14)`

D

`sqrt(7)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B Cross Product of Vectors|73 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C (Triple product of Vectors|112 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

Similar Questions

Explore conceptually related problems

Explain the terms in the formula v = u + at.

Verify the correctness of the equations v = u + at .

Let u = I + j, v = I - j, w = I + 2j + 3k. If n a unit vector such that u.n = 0 v.n = 0 then |w.n| =

The relation between u , v and R for a spherical mirror is

u = a - b, v = a + b, |a| = |b| = implies |u xx v| =

Let v = 2i + j - k and w = I + 3k. If u is unit vector. Then the maximum value of the scalar triple product [u v w] is

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1A
  1. If A.(B+ C) = B. (C + A) = C. (A + B) = 0, |A| = 3, |B| = 4, |C| = 5 t...

    Text Solution

    |

  2. If a,b,c are vector of length 4,4,5 respectively and a,b,c are perpend...

    Text Solution

    |

  3. Let u,v,w be such that |u| = 1, |v| = 2, |w| = 3. If the projection v ...

    Text Solution

    |

  4. If a,b and c are vectors with magnitudes 2,3 and 4 respectively then t...

    Text Solution

    |

  5. If p^(th), q^(th), r^(th) terms of a geometric progression are the pos...

    Text Solution

    |

  6. The vectors AB = 3i - 2j + 2k and BC = - I - 2k are the adjacent sides...

    Text Solution

    |

  7. Let a and b be two unit vectors. If the vectors c = a + 2b and d = 5a ...

    Text Solution

    |

  8. If a,b are vectors of lengths a,b respectively then ((a)/(a^(2)) - (b)...

    Text Solution

    |

  9. If a.b = 0 and a + b makes an angle of 30^(@) with a, then

    Text Solution

    |

  10. If a,b,c are three mutally perpendicular vectors such that |a| = |b|...

    Text Solution

    |

  11. If three unit vectors a,b,c satisfy a + b + c = 0 then the angle betwe...

    Text Solution

    |

  12. In the parallelogram ABCD, overline(AC)^(2)- overline(BD)^(2) =

    Text Solution

    |

  13. In the parallelogram ABCD, overline(AD)^(2) - overline(AB)^(2) =

    Text Solution

    |

  14. If a,b are unit vectors such that the vector a + 3b is perpendicular t...

    Text Solution

    |

  15. P.T the smaller angle theta between any two diagonals of a cube is giv...

    Text Solution

    |

  16. The angle between a diagonal of a cube and the diagonal of a face of t...

    Text Solution

    |

  17. The cartesian equation of the plane passing through A and perpendicula...

    Text Solution

    |

  18. The cartesian equation of the plane passing through A and perpendicula...

    Text Solution

    |

  19. If A = (1,3, - 5) and B = (3,5, - 3) then the vector equation of the p...

    Text Solution

    |

  20. The distance between the line vecr = 2hati - 2hatj + 3hatk + lambda (...

    Text Solution

    |