1. Summary : 3. Motion in 2- & 3-D

2. Vectors
Vectors :
Physics: Quantities with both magnitude & direction.
2. Mathematics : Members of a linear space.
(Free vectors)
Scalars: Quantities with only magnitude.
Displacement
Position vector
Vector addition :
Commutative :
A + B = B + A
2. Associative :
(A + B) + C = A + ( B + C )

3. A 2 A z y y x x Multiplication by scalar : Coordinate system.
Cartesian coordinate system. A
Az k = Az y k j A Ay
= Ay j
Ax i = Ax
Ay j = Ay i y j  x x i Ax
= Ax i
Vector components:
Unit vectors:

4. Vector Arithmetic with Unit Vectors
Cartesian coordinate system :
basis = rectilinear orthogonal unit vectors

5. 2-D constant acceleration
Projectile : ax = 0, ay = g

6. Uniform circular motion
( centripetal ) 
( period )

7. Sailing Against the Wind