Equality of Vectors
Two vectors are said to be equal only when they have same direction and magnitude.For example, two cars travelling with same speed in same direction. If they are travelling in opposite directions with same speed, then the vectors are unequal.
Multiplication of Vectors with real numbers
|Multiplication Factor||Original vector||Magnitude of vector after multiplication||Direction of vector after multiplication|
|λ (>0)||A||λA||Same as that of A|
|-λ (<0)||A||λA||Opposite to that of A|
|λ (=0)||A||0 (null vector)||None. The initial and final positions coincide.|