Scalar Product Dot Product Angle Between Vectors (4 Examples)

I introduce the Algebraic Definition for finding the Dot Product of two vectors when they are in component form. I also use the formula for finding the angle between two vectors.
Example 1) Find the dot product between two dimensional vectors 2:05
Example 2) Find vertices of a rectangular solid and find the dot product of two three dimensional component vectors 4:37
Example 3) Find the angle between two 3-D vectors 12:45
Example 4) Work with the angle between vectors involving trigonometry 15:26
My Vector Lessons nicely organized:)

[mrkassimabdalla]

Thank you my professor you're the best teacher in the world thank u for your helping

[antoniodbz]

Great video! But I have a question for the first example. what if we have given an angle? Like we need to find axb but the angle between i and j is a=1/3

[emiliosantiago]

For the first exam
ple, what would you do if you had a= i + j and b= i + j + k