math presentation sam+marius 2
DESCRIPTION
IB math presentationTRANSCRIPT
Vectors
Math PresentationBy Marius and Samuel
Overview• Vectors in 2-dimensions
– Vectors– Operation with Vectors– Vectors in Component Form– Vector Equations– Vectors in coordinate Geometry– Parallelism– Unit Vectors– Angles and Scalar Products
• Vectors in 3-dimensions– 3-dimensional coordinates– 3-dimensional Vectors– Algebraic operations with 3-D Vectors– Parallelism– Unit Vectors– Collinear points and ratio of division – Extension– The scalar product of 3-D Vectors
• Lines in the plane and in space– Vector and parametric form of a line in 2-dimensional Geometry– The velocity vector of a moving object– Constant velocity Problems– The closest distance– Geometric application of r = a + tb– Lines in Space– Line classification
Vectors in 2-dimensions (2D)
Vectors
• Quantities which have only magnitude are called scalars.
• Quantities which have both size (magnitude) and direction are called vectors.
• Magnitude can be expressed as:– Acceleration– Force– Displacement– Momentum
Simple representation of a Vector
Vector Equality and Negative Vectors
• Two vectors are equal if they have the same magnitude AND direction.
Question
Vector Addition
Vector Subtraction
Question
Scalar Multiplication
Vectors in Composite Form
Vectors Addition
Vectors Subtraction
Scalar Multiplication and Division
Question
Lenght or Magnitude of a Vector
Component form of a Vector
Question
Scalar Products
Vectors Angle
Question
Both in IB Formula Booklet!!
In IB Formula Booklet!!
In IB Booklet
In IB Booklet
Booklet also shows the formula isolating for
In IB Booklet
Geometric Application of r=a+tb
Solution
Lines in Space
Line Classification
Last Question!
Humour time!
The vector was walking down cartesian drive when he bumped into a confused Scalar.
The vector asked him what was wrong and he replied, "Help I have no direction.“
HAHAHAHAHAHAHAHAHAHAHAHAHAHAHA