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[1] How Sin( ) is a measure of how perpendicular two objects/ forces are.

[2] How cos is at measure of how parallel two forces/ objects are.

[3] i = Rotation by 90 degrees. i^2=Rotation by 180 degrees.
i^3 = Rotation by 270 degrees.
i^4= Rotation by 360 degrees.

[4] Transpose of a Matrix = Rotation by 180 degree.

Transpose of (Transpose of) a matrix = Rotation by 360 degrees.

[5] e^i(angle) = rotation by that angle.

[6] sin(30) = 1/2 because at 30 deg the influence of a force/object reduces to half.

For example the shadow of a stick reduces to 1/2 at 30 deg.

[7] A x B = |A| |B|sin(angle btwn A & B).

total combined impact in cross product depends upon.. . . . .
how strong A is
how strong B is.
How perpendicular A and B are w.r.t each other.

e.g A ball hitting a wall will produce max impact at 90 deg.

https://visualizingmathsandphysics.blogspot.in

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1] Sin( ) is a measure of how much perpendicular two objects/forces are.
2] Log(effect) = cause,....10^cause = effect.
3] Transpose of a Matrix = Rotation by 180 degrees.
4] i = rotation by 90 degrees,....i^2 = rotation by 180 degrees, i^3 =rotation by 270 degrees.
5] e^(i.any angle) = rotation anticlockwise by that angle.: e^(-i.any angle) =rotation clockwise by that angle.
6] Cos( ) is a measure of how much aligned two forces are.
7] Diagonal of a matrix is its axis of rotation.

http://visualizingmathsandphysics.blogspot.in/

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https://visualizingmathsandphysics.blogspot.in

[1] How Sin( ) is a measure of how perpendicular two objects/ forces are.

[2] How cos is at measure of how parallel two forces/ objects are.

[3] i = Rotation by 90 degrees. i^2=Rotation by 180 degrees.
i^3 = Rotation by 270 degrees.
i^4= Rotation by 360 degrees.

[4] Transpose of a Matrix = Rotation by 180 degree.

Transpose of (Transpose of) a matrix = Rotation by 360 degrees.

[5] e^i(angle) = rotation by that angle.

[6] sin(30) = 1/2 because at 30 deg the influence of a force/object reduces to half.

For example the shadow of a stick reduces to 1/2 at 30 deg.

[7] A x B = |A| |B|sin(angle btwn A & B).

total combined impact in cross product depends upon.. . . . .
how strong A is
how strong B is.
How perpendicular A and B are w.r.t each other.

e.g A ball hitting a wall will produce max impact at 90 deg.

https://visualizingmathsandphysics.blogspot.in

Post has shared content
1] Sin( ) is a measure of how much perpendicular two objects/forces are.
2] Log(effect) = cause,....10^cause = effect.
3] Transpose of a Matrix = Rotation by 180 degrees.
4] i = rotation by 90 degrees,....i^2 = rotation by 180 degrees, i^3 =rotation by 270 degrees.
5] e^(i.any angle) = rotation anticlockwise by that angle.: e^(-i.any angle) =rotation clockwise by that angle.
6] Cos( ) is a measure of how much aligned two forces are.
7] Diagonal of a matrix is its axis of rotation.

http://visualizingmathsandphysics.blogspot.in/

Hi friends! I am science journalist from Moscow.  It was a pain for me to discover this course on Coursera website only after it was closed and course materials no longer accessible. Being interested in Wittgenstein and philosophy of language applied to natural sciences, I feel especially deep grief concerning Week 2, Week 3  and Week 4 lectures. If someone has dowloaded those lecture videos during the course, coudn't you please share them with me (kborislav@gmail.com)?  You'll probably save my brain from theoretical starvation!
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In case if you miss the monthly #mooc list of July. Check this out 60+  #MOOC courses are starting this month.

http://blog.topfreeclasses.com/2014/06/list-of-july-moocs.html