Project ID:
7260000075
Accepted:
Type:
Layout:
Question:
We are given a regular hexagon $ABCDEF$ with the center $S$ and with side length of $1$. In the hexagon, the vectors $\vec a$, $\vec b$, $\vec c$, $\vec d$ and $\vec e$ 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:
$\vec a\cdot\vec b$
Answer 1:
$-\frac12$
Question 2:
$\vec a\cdot\vec c$
Answer 2:
$\frac32$
Question 3:
$\vec b\cdot\vec d$
Answer 3:
$\frac12$
Question 4:
$\vec c\cdot\vec e$
Answer 4:
$0$
Question 5:
$\vec c\cdot\vec b$
Answer 5:
$-\frac32$
Question 6:
$\vec a\cdot\vec d$
Answer 6:
$-1$
Question 7:
$\vec c\cdot\vec c$
Answer 7:
$3$
Question 8:
$\vec e\cdot\vec e$
Answer 8:
$1$