Worksheet: Geometric Applications of Vectors
In this worksheet, we will practice using vectors operations and vectors properties to solve problems involving geometrical shapes.
Trapezoid has vertices , , , and . Given that and , find the area of that trapezoid.
Given a trapezoid , 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 .
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 .
In the triangle , , where . Given that , find the value of .
If , , , and are vertices of the trapezoid , find the value of using vectors.
If , , and are vertices of the triangle , find the coordinates of the point of intersection of its medians using vectors.