Dot Product of Vectors

petr.beremlijski's picture
Submitted by petr.beremlijski on Tue, 10/22/2024 - 13:41
Project ID: 
7260000075
Accepted: 
SubArea: 
Points and vectors
Type: 
Match
Layout: 
8x8
Question: 
We are given a regular hexagon ABCDEF with the center S and with side length of 1. In the hexagon, the vectors a→, b→, c→, d→ and e→ are highlighted (see the picture). Calculate the dot products of the given pairs of vectors and match each product with its correct value.
Unfolding Image: 
Questions Title: 
Dot products:
Answers Title: 
Results:
Question 1: 
a→⋅b→
Answer 1: 

−12

Question 2: 
a→⋅c→
Answer 2: 

32

Question 3: 
b→⋅d→
Answer 3: 

12

Question 4: 
c→⋅e→
Answer 4: 

0

Question 5: 
c→⋅b→
Answer 5: 

−32

Question 6: 
a→⋅d→
Answer 6: 

−1

Question 7: 
c→⋅c→
Answer 7: 

3

Question 8: 
e→⋅e→
Answer 8: 

1