15.2 Planes and Vectors

Slides/Video

13.2.mp4

3D CARTESIAN PLANE

In a 3D Cartesian plane, a point in space is represented by an ordered triple (x, y, z), where:

'x' is the coordinate along the horizontal axis
'y' is the coordinate along the vertical axis
'z' is the coordinate along the depth axis as shown in the image to the right

3D VECTOR

A vector is a value that has both magnitude and direction.
A vector is represented as an ordered set of components or coordinates.

In a two-dimensional space (2D), a vector can be represented as (x,y), and in a three-dimensional space (3D), it is represented as (x,y,z).

Projectile Motion

There exists a Balance of Forces and Newton’s Law leads to a set of model equations to solve to calculate the trajectory of the ball for given boundary / initial conditions.

Gravity

Fg = -mg

Air Resistance

Fd = -Fdv

Lift (impact of spinning!... the Magnus Effect)

Fm = k1(wxv)

Page updated

Report abuse