VECTORS and SCALARS part 2 Give me some DIRECTION!!!

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Presentation transcript:

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: = – 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: = – Distributive: 2·(3 + 4) = 2·3 + 2·4

That’s all for now, folks!