Home
Class 12
MATHS
Find the unit vector in the direction of...

Find the unit vector in the direction of vector ` vec (PQ)`, where `P` and `Q` are the points `(1,2,3)` and `(4,5,6)`, respectively.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

The unit vector in the direction of a given vector vec(a) is-

Find unit vector in the direction of vector veca=2hati+3hatj+hatk

Find the unit vector in the direction of the vector vec a= hat i+ hat j+ 2 hat k .

Find the unit vector in the direction of the vector veca=hati+hatj+2hatk .

Find a unit vector in the direction of veca= 3hati-2 hatj + 6hatk

Find the unit vector in the direction of the vector whose initial point is P(4,5) and terminal point is Q(-2, 13)

Find a vector in the direction of vector 5hati-hatj+2hatk which has magnitude 8 units.

Find the position vector of the mid point of the vector joining the points P(2,3,4) and Q(4,1,-2).

Find the unit vector in the direction of the sum of vectors , veca=2hati+2hatj-5hatkandvecb=2hati+hatj+3hatk .

Define the position vector of a point with respect to an origin. If vec(a) " and " vec(b) are the position vectors of the points P and Q respectively, find the vector vec(PQ) in terms of vec(a) " and " vec(b) .

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Show that the point A , B and C with position vectors vec a =3 hat i ...

    Text Solution

    |

  2. If 2vec(AC)=3vec(CB), then prove that 2vec(OA)+3vec(OB)=5vec(OC) where...

    Text Solution

    |

  3. Find the unit vector in the direction of vector vec (PQ), where P and...

    Text Solution

    |

  4. For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + ...

    Text Solution

    |

  5. If the projections of vector vec a on x -, y - and z -axes are 2, ...

    Text Solution

    |

  6. Find a vector in the direction of the vector 5 hat i - hat j + 2 h...

    Text Solution

    |

  7. If vec a , vec b , vec c , vec d are the position vector of point A ,...

    Text Solution

    |

  8. Show that the points A(6,-7,0),B(16 ,-19 ,-4),C(0,3,-6) and D(2,-5,10)...

    Text Solution

    |

  9. Statement 1: The direction cosines of one of the angular bisectors ...

    Text Solution

    |

  10. Statement 1: In DeltaA B C , vec (A B)+ vec (BC)+ vec (C A)=0 State...

    Text Solution

    |

  11. If vec aa n d vec b are two vectors of magnitude 1 inclined at 120^0 ...

    Text Solution

    |

  12. vec A isa vector with direction cosines cosalpha,cosbetaa n dcosgammad...

    Text Solution

    |

  13. A vector oversetrarra has components 2p and 1 with respect to a rectan...

    Text Solution

    |

  14. Statement 1 : If three point P, Q and R have position vectors veca, ve...

    Text Solution

    |

  15. In a four-dimensional space where unit vectors along the axes are h...

    Text Solution

    |

  16. Let A B C be a triangle, the position vectors of whose vertices are -1...

    Text Solution

    |

  17. If non-zero vectors vec a and vec b are equally inclined to coplanar ...

    Text Solution

    |

  18. If A(-4,0,3) and B(14 ,2,-5), then which one of the following points l...

    Text Solution

    |

  19. Prove that the sum of three vectors determined by the medians of a ...

    Text Solution

    |

  20. Prove that the resultant of two forces acting at point O and repres...

    Text Solution

    |