How to Calculate the Cross-Product of Unit Vectors [Vector Statics #29]

The interesting thing about the cross products of unit vectors is that their magnitudes are always 1! And if we're studying these unit vectors within our usual 3D Euclidian space, the unit vectors along the x, y, and z axes are all orthogonal from one another, making the cross product of the operation even easier.

I'll also introduce a circle diagram that we can use to determine the orientation of the result of the cross product of any two unit vectors. This should help us in quickly determining the cross product of individual components of forces in 2D and 3D in the coming videos!

Remember, in this course we're taking the counter-clockwise direction to indicate a positive orientation! This is why the circle is pointing in that direction!

⏰ Timestamps:

0:00 Introduction
1:19 Cross-Product Review
2:28 Cross-Product of i Cross j
4:32 Cross-Product of j Cross i
5:12 The Unit Vector Circle

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