Area of Parallelogram

Project ID: 
7200020189
Accepted: 
Type: 
Layout: 
Question: 
In the parallelogram ABCD, denote the vector AB as u and the vector AD as v. Match the pairs of vectors u and v with the area of the corresponding parallelogram ABCD.   Hint: It can be shown that the area of the parallelogram ABCD, where AB=u=(u1,u2) and AD=v=(v1,v2), is equal to the absolute value of the determinant |u1u2v1v2|.
Question 1: 
u=(1;2), v=(2;6)
Answer 1: 
S=2
Question 2: 
u=(2;0), v=(0;2)
Answer 2: 
S=4
Question 3: 
u=(1;3), v=(6;2)
Answer 3: 
S=20
Question 4: 
u=(3;5), v=(1;5)
Answer 4: 
S=10
Question 5: 
u=(1;1), v=(2;3)
Answer 5: 

S=5

Question 6: 
u=(0;3), v=(3;3)
Answer 6: 
S=9