Adding and subtracting vectors

author: Martin Marinov
viewed: 2049 times
Българска версия:

D: If a^→ and b^→ are two vectors, О is a scalene and OA^→ = a^→ , AB^→ = b^→ , then the vector c^→ = OB^→ is called sum (total) of the vectors a^→ and b^→ and is marked c^→ = a^→ + b^→
The triangle rule:
When the vectors a^→ and b^→ doesn't lie on one line or on parallel lines, then the given construction definition is called the rule of the triangle.

The parallelogram rule:
If a^→ and b^→ are two vectors, that doesn't lie on one line or on parallel lines. We can choose a scalene point О. Construct OA^→ = a^→ , AB^→ = b^→ and convert the triangle OAB to parallelogram OACB. The vector c^→ = OC^→ is a sum of the vectors a^→ and b^→ , c^→ = a^→ + b^→ - the rule of the parallelogram

Vector sum properties:
a^→+ b^→= b^→+ a^→, (a^→+ b^→) + c^→= a^→+ (b^→+ c^→), a^→+ (-a^→)=0^→, a^→+ 0^→= a^→

D: The difference a^→- b^→of the vectors a^→ and b^→ is the vector a^→+ (-b^→)