Worksheet: Geometrical Interpretation of the Vector Product

Q1:

Find the area of a triangle , where , , and .

Q2:

Find the area of a triangle , where , , and .

Q3:

Find the area of a triangle , where , , and .

Q4:

Find the area of a triangle , where , , and .

Q5:

Assuming that form a right-hand system; , , and and form two adjacent sides of a triangle, find the product of into and the area of the triangle drawn.

• A , area square units
• B , area square units
• C , area square units
• D , area square units
• E , area square units

Q6:

is a rhombus, in which the coordinates of the points and are and , respectively. Use vectors to determine its perimeter.

• A666 length units
• B length units
• C length units
• D length units

Q7:

If is a triangle of area 248.5 cm2, find the value of .

Q8:

Rhombus has vertices , , , and . Use vectors to determine its area.

Q9:

Rhombus has vertices , , , and . Use vectors to determine its area.

Q10:

Rhombus has vertices , , , and . Use vectors to determine its area.

Q11:

Rhombus has vertices , , , and . Use vectors to determine its area.

Q12:

Given that , , and , determine the area of the triangle approximated to the nearest hundredth.

Q13:

Given that , , and , determine the area of the triangle approximated to the nearest hundredth.

Q14:

Triangle has vertices , , and . Use vectors to determine its area.

Q15:

Suppose that and fix two sides of a triangle. What is the area of this triangle, to the nearest hundredth?

Q16:

Suppose that and fix two sides of a triangle. What is the area of this triangle, to the nearest hundredth?

Q17:

Suppose that and fix two sides of a triangle. What is the area of this triangle, to the nearest hundredth?