In parallelogram , if one diagonal gives the sum of vectors , what does the other diagonal will be ?
Answers
Answered by
0
Answer:
Let θ be the angle between
a
&
b
The long diagonal of the parallelogram is the vector sum of two sides and short diagonal is vector difference of two sides.
Given...
d
1
=
a
+
b
,
d
2
=
a
−
b
d
1
2
=a
2
+b
2
+2abcosθ
d
2
2
=a
2
+b
2
−2abcosθ
d
1
2
+d
2
2
=2(a
2
+b
2
)
a
2
+b
2
=(d
1
2
+d
2
2
)/2
Answered by
1
Answer:
It is the resultant vector
Thank you
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