vectors

In this video, I go over the osculating circle, which lies on the same osculating plane and has the same tangent and normal vector as a ...

▶️ Watch on 3Speak In this video, I go over the osculating circle, which lies on the same osculating plane and has the same tangent and ...

In this video, I go over the TNB Frame for space curves and their associated Normal and Osculating Planes, which have applications in th...

▶️ Watch on 3Speak In this video, I go over the TNB Frame for space curves and their associated Normal and Osculating Planes, which have...

In this video, I go over the principal unit normal and binormal vectors of a space curve, which are both derived from the unit tangent v...

▶️ Watch on 3Speak In this video, I go over the principal unit normal and binormal vectors of a space curve, which are both derived from...

In this video, I go over the curvature of the special case of a plane curve with equation y = f(x), by selecting x as the parameter and ...

In this video, I derive a more convenient formula for the curvature of a space curve, which involves the cross product of the first two ...

▶️ Watch on 3Speak In this video, I derive a more convenient formula for the curvature of a space curve, which involves the cross produc...

In this video, I go over the definition of curvature, which describes how quickly a curve changes direction at a given point. It is defi...

▶️ Watch on 3Speak In this video, I go over the definition of curvature, which describes how quickly a curve changes direction at a give...

In this video, I show that a curve can be represented by multiple different vector functions, called parameterizations of the curve, and...

In this video, I extend the formula for the arc length of a 2D plane curve to that of a 3D space curve, both of which can be represented...

In this video, I go over further into vector functions and this time do a deep dive into the arc length and curvature of a space curve. ...

https://youtu.be/i9ForOVH5Bk ▶️ Watch on 3Speak - Odysee - BitChute - Rumble - Telegram - YouTube - PDF Notes - Hive Notes - Summary - Sec...

▶️ Watch on 3Speak In this video I prove Formula 6 of the differentiation rules for vector functions and this time show that the derivat...

▶️ Watch on 3Speak In this video I once again prove Formula 5 of the Differentiation Rules for Vector Functions but this time obtain the...

In this video I prove Formula 5 of the differentiation rules for vector functions, and this time derive the derivative of the cross prod...

▶️ Watch on 3Speak In this video I prove Formula 5 of the differentiation rules for vector functions, and this time derive the derivativ...

▶️ Watch on 3Speak In this video I prove formulas 2 and 3 of the differentiation rules for vector functions and show that the derivative...

In this video I prove formulas 2 and 3 of the differentiation rules for vector functions and show that the derivative of a vector functi...

In this video I go over Formula 1 of the differentiation rules for vector functions and show the derivative of the addition (or subtract...

▶️ Watch on 3Speak In this video I go over Formula 1 of the differentiation rules for vector functions and show the derivative of the ad...

▶️ Watch on 3Speak In this video I show that the derivative or tangent vector of a curve defined by a vector function always points in t...

Exercise 1: Tangent Vector Points in the Direction of Increasing t https://youtu.be/B5gTEL63oqE In this video I show that the derivative...

In this video I go over integrals for vector functions and show that we can evaluate it by integrating each component function. YouTube ...

In this video I show that the tangent vector (derivative of a vector function) is orthogonal or perpendicular to a vector of constant le...

▶️ Watch on 3Speak In this video I derive the 4th differentiation rule for vector functions, which involves taking the derivative of the...

In this video I derive the 4th differentiation rule for vector functions, which involves taking the derivative of the dot product betwee...

▶️ Watch on 3Speak In this video I go over the six main differentiation rules for vector functions, as well as the 2nd (or higher) deriv...