• Prove
that asociative and
commutative to property of dot product
by sing following
following vectors
Answers
Answer:
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Explanation:
ANSWER
Vector Properties
1. Commutative Property of Addition- For any two vectors a and b, ⇒
a
ˉ
+
b
ˉ
=
b
ˉ
+
a
ˉ
,
2. Associative Property of addition - For any three vectors
a
ˉ
,
b
ˉ
and
c
ˉ
, ⇒(
a
ˉ
+
b
ˉ
)+
c
ˉ
=
a
ˉ
+(
b
ˉ
+
c
ˉ
)
3. Additive Identity- For any vector
a
ˉ
, ⇒
a
ˉ
+0=0+
a
ˉ
=
a
ˉ
4. Distributivity of scalar product over addition- Let a,
b
ˉ
and
c
ˉ
be any three vectors, then ⇒
a
ˉ
.(
b
ˉ
+
c
ˉ
)=
a
ˉ
.
b
ˉ
+
a
ˉ
.
c
ˉ
5. Commutative Property of scalar product- For any two vectors a and b, ⇒
a
ˉ
.
b
ˉ
=
b
ˉ
.
a
ˉ
,
6. Vector product is not commutative- For any two vector
a
ˉ
and
b
ˉ
⇒
a
ˉ
×
b
ˉ
=−
b
ˉ
×
a
ˉ
⇒
a
ˉ
×
b
ˉ
=
b
ˉ
×
a
ˉ