You can use the dot product to determine if two

Kendrick Pierce

Kendrick Pierce

Answered question

2022-05-21

You can use the dot product to determine if two vectors are parallel by seeing if their dot product is = 1. What about if they are parallel but point in the opposite direction? Would the dot product just equal -1 in this case?

Answer & Explanation

delalbaef

delalbaef

Beginner2022-05-22Added 10 answers

Step 1
The dot product relates directly to the angle between two vectors.
More specifically, one can define the following:
c o s ( θ ) := v u v u
Where θ is the angle between v and u.
Thus, you can see that θ relates directly to v u , assuming we don't change the norms of v or u. In the more specific case when v,u are unit vectors, the relation becomes:
c o s ( θ ) = v u
Which shows this correlation even more clearly.

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