Difference between opposite and antiparallel vectors?

Asked by drhimasingh | 20th May, 2020, 10:38: AM

Expert Answer:

A negative or opposite vector for a given vector is a vector of same magnitude but acting in opposite direction.
For example - 
 
a with rightwards arrow on top space a n d space minus a with rightwards arrow on top space a r e space n e g a t i v e space v e c t o r s space o r space o p p o s i t e space v e c t o r s
 
Two vectors are antiparallel vectors when 
i) Both have opposite direction 
ii) One vector is scalar non-zero negative multiple of another vector. 
For example -
 
a with rightwards arrow on top space space a n d space minus space 4 a with rightwards arrow on top space space a r e space a n t i p a r a l l e l space v e c t o r s space

T h e space n e g a t i v e space s i g n space i n d i c a t e s space t h a t space t h e y space a r e space i n space o p p s o i t e space d i r e c t i o n space
minus 4 space i s space n o n space z e r o space s c a l a r space m u l t i p l e space 
 
 
 
A negative vector is an antiparallel vector, but an antiparallel vector is not necessarily a negative vector.

 

Answered by Shiwani Sawant | 20th May, 2020, 08:43: PM