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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!