# Worksheet: Geometric Applications of Vectors

In this worksheet, we will practice using vectors operations and vectors properties to solve problems involving geometrical shapes.

**Q2: **

Trapezoid has vertices , , , and . Given that and , find the area of that trapezoid.

**Q3: **

Given a trapezoid , in which and , find the value of such that .

- A
- B8
- C
- D

**Q4: **

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,

**Q5: **

Given the information in the diagram below, find the value of such that .

- A
- B
- C
- D

**Q6: **

Given a triangle , in which , , and , use vectors to determine the length of .

- A cm
- B cm
- C cm
- D cm

**Q7: **

Given that , , , and are four collinear points, where , determine the value of which satisfies .

- A
- B
- C

**Q8: **

In the triangle , , where . Given that , find the value of .

**Q9: **

If , , , and are vertices of the trapezoid , find the value of using vectors.

**Q10: **

If , , and are vertices of the triangle , find the coordinates of the point of intersection of its medians using vectors.

- A
- B
- C
- D
- E