Previous section: Standard Algebraic Tools for Linear Geometry.
Next section: Rules for Multiplication by Scalars.
• Closure (The sum of vectors is also a vector)
a + b = c
Exercises: As appropriate, sketch geometric depictions for the following algebraic rules:
• Commutative
a + b = b + a (Click here to see one depiction.)
• Associative
(a + b) + c = a + (b + c) (Click here to see one depiction.)
• Additive inverse and zero vector (depicted by a point)
a + (–a) = 0
a + 0 = a
• Subtraction
a – b = a + (–b)
Previous section: Standard Algebraic Tools for Linear Geometry.
Next section: Rules for Multiplication by Scalars.