Home
Class 11
MATHS
Write the position vector of the centroi...

Write the position vector of the centroid of the triangle formed by the points whose position vectors are `3bar(i)+2bar(j)-bar(k), 2bar(i)-2bar(j)+5bar(k), bar(i)+3bar(j)-bar(k)`.

Text Solution

Verified by Experts

The correct Answer is:
`2bar(i)+bar(j)+bar(k)`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise SOLVED EXAMPLES|13 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|10 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos

  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

Similar Questions

Explore conceptually related problems

The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+bar(j)-2bar(k)

The position vector of a point lying on the line joining the points whose position vectors are bar(i)+bar(j)-bar(k) and bar(i)-bar(j)+bar(k) is

Find the position vector of the centroid of the tetrahedron formed by the points 2bar(i)-bar(j)-3bar(k), 4bar(i)+bar(j)+3bar(k), 3bar(i)+2bar(j)-bar(k), bar(i)+4bar(j)+2bar(k) .

The points whose position vectors are 2bar(i)+3bar(j)+4bar(k), 3bar(i)+4bar(j)+2bar(k) and 4bar(i)+2bar(j)+3bar(k) are the vertices of

Find the direction cosines of the line joining the points with position vectors -bar(i)+bar(j)+bar(k), 2bar(i)+3bar(j)-5bar(k) .

Show that the triangle formed by the vectors 3bar(i)+5bar(j)+2bar(k), 2bar(i)-3bar(j)-5bar(k), -5bar(i)-2bar(j)+3bar(k) is equilateral.

If the points whose position vectors are 2bar(i)+bar(j)+bar(k), 6bar(i)-bar(j)+2bar(k)" and "14bar(i)-5bar(j)+pbar(k) are collinear, then the value of p is

Find the value of [bar(i)+bar(j)+bar(k),bar(i)-bar(j),bar(i)+2bar(j)-bar(k)] .

Find the vector area and area of the triangle with vertices bar(i) + bar(j)-bar(k), 2bar(i)- 3bar(j) + bar(k), 3 bar(i) + bar(j)- 2bar(k) .

If the triangle formed by the vectors 3 bar(i) + 5 bar(j) + 2 bar(k) , 2 bar(i) - 3 bar(j) - 5 bar(k) and - 5 bar(i) - 2 bar(j) + 3 bar(k) equilateral ?

AAKASH SERIES-PROPERTIES OF VECTORS-PRACTICE EXERCISES
  1. Write the position vector of the centroid of the triangle formed by th...

    Text Solution

    |

  2. If bar(OA)=bar(i)+2bar(j)-3bar(k), bar(OB)=3bar(i)-2bar(j)+5bar(k) and...

    Text Solution

    |

  3. If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3...

    Text Solution

    |

  4. If (bar(a), bar(i))=(bar(a), bar(j))=pi/4" then "(bar(a), bar(k))=

    Text Solution

    |

  5. Unit vector making angles pi/3, pi/3, (3pi)/4 with bar(i), bar(j), bar...

    Text Solution

    |

  6. If bar(a)=bar(i)+bar(j)+bar(k), bar(b)=2bar(i)+3bar(j), bar(c)=3bar(i)...

    Text Solution

    |

  7. If bar(alpha)=2bar(i)+3bar(j), bar(beta)=4bar(i)+bar(j), bar(gamma)=5b...

    Text Solution

    |

  8. bar(a), bar(b), bar(c) are three vectors of which every pair is non-co...

    Text Solution

    |

  9. Let a, b, g be the distinct real numbers. The points with position vec...

    Text Solution

    |

  10. If the position vectors of the four points A, B, C, D are 2bar(a), bar...

    Text Solution

    |

  11. If the position vectors of three consecutive vertices of a parallelogr...

    Text Solution

    |

  12. A set of vectors bar(a)(1), bar(a)(2), ………, bar(a)(n) is said to linea...

    Text Solution

    |

  13. If 4bar(i)+7bar(j)+8bar(k), 2bar(i)+3bar(j)+4bar(k), 2bar(i)+5bar(j)+7...

    Text Solution

    |

  14. If A=(1, 1, 1), B=(1, 2, 3), C=(2, -1, 1) be the vertices of a DeltaAB...

    Text Solution

    |

  15. If A is the point bar(a)+2bar(b), P is the point bar(a) and P devides ...

    Text Solution

    |

  16. The ratio in which 3bar(i)+4bar(j)+7bar(k) divides the join of bar(i)+...

    Text Solution

    |

  17. In a DeltaOAB, E is the mid point of OB and D is a point in AB such th...

    Text Solution

    |

  18. If 2bar(i)+3bar(j)+5bar(k), 2bar(i)+4bar(j)+5bar(k) and 2bar(i)+4bar(j...

    Text Solution

    |

  19. The P.V.'s of A, B, C are bar(i)+bar(j)+bar(k), 4bar(i)+bar(j)+bar(k),...

    Text Solution

    |

  20. In a DeltaABC, P.V.'s of A, mid-point of BC are bar(i)+2bar(j)+3bar(k)...

    Text Solution

    |

  21. If G is the centroid of DeltaABC then bar(GA)+bar(GB)+bar(GC)=

    Text Solution

    |