By Andy Shen

VECTORS IN THE PLANE

TWO-DIMENSIONAL VECTORS

VECTOR PROPERTIES

MAGNITUDE OF A 2D VECTOR

DIRECTION OF A 2D VECTOR

PROPERTIES OF VECTOR OPERATIONS• Let u,v,w be vectors and a,b be scalars

• 1. u+v=v+u

• 2.(u+v)+w=u+(v+w)

• 3.u+0=u

• 4.u+(-u)=0

• 5.0u=0

• 6.1u=u

• 7.a(bu)=(ab)u

• 8.a(u+v)=au+av

• 9.(a+b)u=au+bu

THREE-DIMENSIONAL VECTORS

MAGNITUDE OF A 3D VECTOR

EXAMPLE OF VECTORS IN DIFFERENT PLANES

EXAMPLE 2

GRAPH OF X^2+Y^2=4 IN R^2 AND R^3

THE REALLY COOL PART OF VECTOR IN 3D

END

Thank you

Links:http://www.intmath.com/vectors/7-vectors-in-3d-space.php, http://tutorial.math.lamar.edu/Classes/CalcII/3DSpace.aspx, http://tutorial.math.lamar.edu/Classes/CalcII/VectorsIntro.aspx, https://www.khanacademy.org/math/calculus/multivariable-calculus/3d_flux/v/conceputal-understanding-of-flux-in-three-dimensions