Exercises on vectors

Here is the list of geometry exercises on vectors available online for free. Each corrected exercise is accompanied by indications, reminders of course, methodological advice which allows you to practice independently.

4 exercises
  • N°1524 (vectors) : The objective of this exercise is to determine the ordinate of a direction vector from a line equation.

    Exercise example :

    Find the ordinate of the direction vector of the line whose equation is `y=-7/10*x+6` which has abscissa 1

    1524 vectors | equations | equations of lines and linear systems 10th Grade fraction
  • N°3441 (vectors) : The purpose of this corrected exercise is to calculate the coordinates of a vector from the coordinates of two points.

    Exercise example :

    Let(O,`vec(i)`,`vec(j)`) be a reference frame of the plane. Let A and D be two points of coordinates `(13,8)` and `(7,6)` respectively in this frame, compute the coordinates of the vector `vec(AD)`.

    3441 vectors | geometry 9th Grade | 10th Grade vector_coordinates
  • N°3442 (vectors) : The purpose of this corrected exercise is to calculate the distance between two points from their coordinates.

    Exercise example :

    The plane is given an orthonormal reference frame (O,`vec(i)`,`vec(j)`). Let A and D be two points of coordinates (`13`,`8`) and (`7`,`6`) respectively in this frame, calculate the distance between A and D .

    3442 vectors | geometry 9th Grade | 10th Grade vector_norm
  • N°3443 (vectors) : The purpose of this corrected analytical geometry exercise is to calculate the coordinates of the midpoint of a segment from coordinates.

    Exercise example :

    Let(O,`vec(i)`,`vec(j)`) be a reference frame of the plane. Let D and H be two points of coordinates `(2,8)` and `(2,7)` respectively in this frame, compute the coordinates of the middle of the segment [DH].

    3443 vectors | geometry 9th Grade | 10th Grade

The vectors topic is available for : 9th Grade, 10th Grade

List of exercises by class : middle and high schools, 6th Grade, 7th Grade, 8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade.

Other resources