Worksheet: Geometric Applications of Vectors
In this worksheet, we will practice using vectors operations and vectors properties to solve problems involving geometrical shapes.
is a square, in which the coordinates of the points , , and are , , and . Use vectors to determine the coordinates of the point and the area of the square.
- A , area
- B , area
- C , area
- D , area
Trapezium has vertices , , , and . Given that and , find the area of that trapezium.
Given a trapezium , in which and , find the value of such that .
is a rectangle, in which the coordinates of the points , , and are , , and , respectively. Use vectors to find the value of and the coordinates of point .
- A ,
- B ,
- C ,
- D ,
- E ,
Given the information in the diagram below, find the value of such that .
Given a triangle , in which , , and , use vectors to determine the length of .
- A cm
- B cm
- C cm
- D cm
Given that , , , and are four collinear points, where , determine the value of which satisfies .