The coordinate system , question 2, Grade 10

01/03/2017 Grade 10 3,906

In an orthonormal system of axes :

  1. Plot the points : A(0,3), B(1,-1), and C(3,2)
  2. Find the coordinates x and y of a point M knowing that :

    \overrightarrow {AM}+2\overrightarrow {AB}=\overrightarrow i

  3. Let F be the midpoint of [BC], find the coordinates of F in the system

    (B,\overrightarrow i,\overrightarrow j)

    .
  4. Deduce the coordinates of E, the symmetric of F w.r.t C in the same system 

    (B,\overrightarrow i,\overrightarrow j)

  5. Determine the coordinates of A, B and

    \overrightarrow {AB}

    in the system

    (C,\overrightarrow i,\overrightarrow j)

    .