vectors( need answer asap)

posted by .

The centroid of the triangle OAB is denoted by G. If O is the origin and OA=4i + 3j ,OB=6i-j. Find OG in terms of the unit vectors, I and j.

  • vectors( need answer asap) -

    The centroid of a triangle is located at 2/3 of the length of any median.
    Median=(OA+OB)/2=<5,1>
    2/3 from vertex (origin)=<10/3,2/3>.

    Another way:
    It turns out that the coordinates of the centroid of a triangle is the mean of the x and y coordinates of the vertices.
    In this case, the coordinates are:
    <0,0>
    <4,3>
    <6,-1>
    The mean of x=10/3, mean of y=2/3
    So G is at <10/3,2/3>.

  • vectors( need answer asap) -

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. science (physics) Need to solve this today please

    (a) Express the vectors A, B, and C in the figure below in terms of unit vectors. (b) Use unit vector notation to find the vectors R = A + B + C and S = C – A – B. (c) What are the magnitude and directions of vectors R and S?
  2. PreCalculus

    Given vectors u=7i + 3j and v = -4i + 3j, find 5u-4v in terms of unit vectors. I am just beginning the study of vectors and have this problem. Could someone help?
  3. math

    given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q are the unit vectors,find the product of vectors p and q?
  4. math

    given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q are the unit vectors,find the dot product of vectors p and q?
  5. Calculus and Vectors

    THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a dot b
  6. vector

    The centroid of the triangle OAB is denoted by G. If O is the origin and OA=4i + 3j ,OB=6i-j. Find OG in terms of the unit vectors, I and j.
  7. Math

    The position vectors for points P and Q are 4 I + 3 j + 6 j + 6 k respectively. Express vector PQ in terms of unit vectors I, j and k. Hence find the length of PQ, in simplified surd form.
  8. Calculus

    Sketch the vector field F⃗ (r⃗ )=2r⃗ in the plane, where r⃗ =⟨x,y⟩. Select all that apply. A.All the vectors point away from the origin. B. The vectors increase in length as you move away from …
  9. Physics

    Please help me with this its very hard to visualize the problem. The analytical method of adding vectors expressed in terms of their components may be applied to vectors in three dimensions, for which graphical work is inconvenient. …
  10. Vectors

    In triangle OAB, OA = 3i + 4k and OB = i + 2j - 2k. Find OP, where P is the point where the bisector of Angle AOB intersects AB. Answer is 7i/4 + 5j/4 + k/4 Don't use the matrix method as I haven't learnt it yet and please show working. …

More Similar Questions