Download VECTORS and SCALARS

VECTORS and SCALARS
part 2
Give me some DIRECTION!!!
PHYSICS QUANTITIES
•
•
•
•
SCALARS
Magnitude
Without direction
Units (most scalars)
Certain scalars don’t have
units or dimensions –
adimensional quantities.
•
•
•
•
VECTORS
Magnitude
With direction
Units (all vectors)
Vectors are represented by
ARROWS
TAIL
TIP or HEAD
• To distinguish from scalars,
vector quantities have an
arrow above their symbol:
A, B and C
EXAMPLES
SCALARS
• Time t; time interval Δt
• (leave blank)
• Distance Δd
• Speed v
• (leave blank)
• Mass m
VECTORS
• (leave blank)
• Position d
• Displacement Δd
• Velocity v
• (leave blank)
• Linear momentum p
VECTOR ALGEBRA
SCALARS
• Multiplication by a number
(scalar):
a·b = c (a new scalar)
2·3 = 6
VECTORS
• Multiplication by a number
(scalar):
a·b = c (a new vector in the
same direction)
2·3 = 6
2*
=
3 units 6 units
VECTOR ALGEBRA
SCALARS
• Multiplication by a number
(scalar):
a·b = c (a new scalar)
2·3 = 6
• Addition properties:
– Commutative:
a+b=b+a
– Distributive:
a·(b + c) = a·b + a·c
VECTORS
• Multiplication by a number
(scalar):
a·b = c (a new vector in the
same direction)
2·3 = 6
• Addition properties:
– Commutative:
a+b=b+a
– Distributive:
a·(b + c) = a·b + a·c
VECTOR ALGEBRA
SCALARS
• Multiplication by a number
(scalar):
a·b = c (a new scalar)
2·3 = 6
• Addition properties:
– Commutative:
2+3=3+2
– Distributive:
2·(3 + 4) = 2·3 + 2·4
VECTORS
• Multiplication by a number
(scalar):
a·b = c (a new vector in the
same direction)
2·3 = 6
• Addition properties:
– Commutative:
2+3=3+2
– Distributive:
2·(3 + 4) = 2·3 + 2·4
That’s all for now, folks!