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

• 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 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 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