Home
Class 12
MATHS
Find the direction cosines of the vector...

Find the direction cosines of the vector joining the points `A(1, 2, -3) and B(-1, -2, 1)` directed from `A` to `B`.

Text Solution

AI Generated Solution

To find the direction cosines of the vector joining the points \( A(1, 2, -3) \) and \( B(-1, -2, 1) \) directed from \( A \) to \( B \), we will follow these steps: ### Step 1: Determine the vector \( \overrightarrow{AB} \) The vector \( \overrightarrow{AB} \) can be calculated using the formula: \[ \overrightarrow{AB} = B - A \] ...
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 1.2|7 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise SUBJECTIVE|14 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise ILLUSTRATION 46|1 Videos
  • INTEGRALS

    CENGAGE ENGLISH|Exercise All Questions|764 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Archives (Numerical Value type)|2 Videos

Similar Questions

Explore conceptually related problems

Find the direction cosines of the vector joining the points A(1,2,-3)a n d B(-1,-2,1), directed from Aa n dBdot

Find the direction cosines of the vector joining the points A(1,2,-3)a nnB(-1-2,1) directed from AtoBdot

Find the direction cosines of the line joining the points (1,-1,0) and (2, 1, 3).

Find the vector joining the points P(2, 3, 0) and Q( 1, 2, 4) directed from P to Q.

(4) Find the direction cosines of the line joining the points (2,3,4) and (4,5,6).

Write the direction-cosines of the line joining the points (1, 0, 0) and (0, 1, 1).

Find the direction cosines of the vector: hati+2hatj+6hatk

Find the direction cosines of the vector 2hati+2hatj-hatk

Find the direction COSINES of the line joining the points P(4,3,-5) and Q(-2,1,-8)

Find the direction cosines of the vector hati+2hatj+3hatk .

CENGAGE ENGLISH-INTRODUCTION TO VECTORS -CONCEPT APPLICATION EXERCISE 1.1
  1. Find the unit vector in the direction of the vector veca=hati+hatj+2ha...

    Text Solution

    |

  2. Find the direction cosines of the vector hati+2hatj+3hatk.

    Text Solution

    |

  3. Find the direction cosines of the vector joining the points A(1, 2, -3...

    Text Solution

    |

  4. The position vectors of P and Q are 5hati+4hatj+ahatk and -hati+2hatj-...

    Text Solution

    |

  5. Given three points are A(-3,-2,0),B(3,-3,1)a n dC(5,0,2)dot Then find ...

    Text Solution

    |

  6. Find a vector of magnitude 5 units, and parallel to the resultant of t...

    Text Solution

    |

  7. Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are col...

    Text Solution

    |

  8. If A B C D is a rhombus whose diagonals cut at the origin O , then ...

    Text Solution

    |

  9. Let D ,Ea n dF be the middle points of the sides B C ,C Aa n dA B , re...

    Text Solution

    |

  10. Let A B C D be a p[arallelogram whose diagonals intersect at P and ...

    Text Solution

    |

  11. If A B C D is quadrilateral and Ea n dF are the mid-points of A Ca n d...

    Text Solution

    |

  12. If vec A O+ vec O B= vec B O+ vec O C , then A ,Bn a dC are (where O ...

    Text Solution

    |

  13. If the sides of an angle are given by vectors veca=hati-2hatj+2hatk an...

    Text Solution

    |

  14. A B C D is a parallelogram. If La n dM are the mid-points of B Ca n dD...

    Text Solution

    |

  15. A B C D is a quadrilateral and E and the point intersection of the ...

    Text Solution

    |

  16. What is the unit vector parallel to vec a=3 hat i+4 hat j-2 hat k ...

    Text Solution

    |

  17. The position vectors of points A and B w.r.t. the origin are veca=hati...

    Text Solution

    |

  18. If vec r1, vec r2, vec r3 are the position vectors off thee collinear...

    Text Solution

    |

  19. If veca and vecb are two vectors of magnitude 1 inclined at 120^(@), t...

    Text Solution

    |

  20. Find the vector of magnitude 3, bisecting the angle between the vector...

    Text Solution

    |