Properties of Vector addition - Vector Algebra Video Lecture - Class 12

hello friends this video on vector
algebra part 7th is brought you by exam
viacom no more fear from exam before
watching this video please make sure
that you have watched part 1 to part 6
so having understood the two ways to add
a vector now let's go through some of
the properties of that addition so first
is the commutative property it says that
you have two vectors a and B you say a
plus B you get this vector or you say B
plus a example you have B vector on this
you are adding a vector you get this
vector both are same you say a plus B
you get this you say B plus a you can
this and both are same so you add the
way you want you get the same value that
is called commutative property in
addition to community property is the
fgt probably using a plus B then you add
C or you say a plus B plus C both are
same so it is pretty simple actually so
you have a vector let's suppose you have
B vector right so you add these two a
plus B you get let's suppose some vector
right on this you are adding C vector
final vector is this guy it must be plus
C right or you have it suppose this a
vector then you have B vector and you
have C vector first you add B and C you
get this vector on this vector you add a
you get this one right k plus mu plus
you get both in both case you get same
answer in this first case what I did was
you first il a plus B first whatever is
that like God on that a or and C in this
case first
I added B plus C vector correct I got
this value this vector
on this vector errant erector so you
first add a plus B then I'd C or you
first add V plus C then adding doesn't
matter all 100 so that is gone
associating profit additive identity I
told this something called zero vector
so you have some vector in this vector
you add zero it is still a vector itself
multiplication of vector by a scalar so
you have some vector let's suppose for
unit you multiply this by 5 so this
becomes 20 unit correct and it's a that
magnitude of this vector if you see
nothing but 5 into lambda is 5 and 4 is
my a unit vector so you can multiply a
vector with a scalar and the vector
increase or decrease beige and lambda if
lambda is more than 1 it increased let's
suppose in this case it is 1 by 2 so 4
by 2 becomes 2 it is small enough so you
can multiply a vector with a scalar not
an each additive inverse you add a
vector a the same vector of opposite
direction you get a zero vector correct
so if you have this vector you do a head
to tail matting this way overlaps like
this the final vector is 0 vector
because final vector is a vector which
starts from here and say listen thank
you visit exam viacom to watch free
education videos try free on my debts in
the best quality study materials study
from the best tutors and mentors and
much more thanks and sorry