Home
Class 12
MATHS
Given three points are A(-3,-2,0),B(3,-3...

Given three points are `A(-3,-2,0),B(3,-3,1)a n dC(5,0,2)dot` Then find a vector having the same direction as that of ` vec A B` and magnitude equal to `| vec A C|dot`

Text Solution

AI Generated Solution

To solve the problem step by step, we will follow these steps: ### Step 1: Find the vector \( \vec{AB} \) Given points: - \( A(-3, -2, 0) \) - \( B(3, -3, 1) \) ...
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

A vector vec(A) When added to the vector vec(B)=3hat(i)+4hat(j) yields a resultant vector that is in the positive y-direction and has a magnitude equal to that of vec(B) . Find the magnitude of vec(A) .

If the angel between unit vectors vec aa n d vec b60^0 , then find the value of | vec a- vec b|dot

For any two vectors vec a and vec b , show that : ( vec a+ vec b)dot( vec a- vec b)=0, when | vec a|=| vec b|dot

For any tow vectors a\ a n d\ b show that ( vec a+ vec b) ( vec a- vec b)=0 if | vec a|=| vec b|dot

For any vector vec a\ a n d\ vec b prove that | vec a+ vec b|lt=| vec a|+| vec b|dot

If vec a , a n d vec b are unit vectors , then find the greatest value of | vec a+ vec b|+| vec a- vec b|dot

If the position vector of a point (-4,\ -3)b e\ vec a ,\ find \ | vec a|dot

If vec a\ a n d\ vec b are unit vectors then write the value of | vec axx vec b|^2+( vec adot vec b)^2dot

If vec a\ a n d\ vec b are unit vectors then write the value of | vec axx vec b|^2+( vec adot vec b)^2dot

If vec c = 3vec a+4vec b and 2vec c =vec a -3vec b , show that (i) vec c and vec a have the same direction and |vec c| gt |vec a| (ii) vec b and vec c have opposite direction and |vec c| gt |vec b|

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

    |