what is the magnitude and direction of a resultant vector r ?
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Answer:
Resultant vector,
∣
∣
∣
∣
R
∣
∣
∣
∣
=
∣
∣
∣
∣
A
∣
∣
∣
∣
2
+
∣
∣
∣
∣
B
∣
∣
∣
∣
2
+2
∣
∣
∣
∣
A
∣
∣
∣
∣
∣
∣
∣
∣
B
∣
∣
∣
∣
cosθ
Where,
θ is the angle between them.
For finding maximum.
dθ
d
∣
∣
∣
∣
R
∣
∣
∣
∣
=
2
∣
∣
∣
∣
A
∣
∣
∣
∣
2
+
∣
∣
∣
∣
B
∣
∣
∣
∣
2
+2
∣
∣
∣
∣
A
∣
∣
∣
∣
∣
∣
∣
∣
B
∣
∣
∣
∣
cosθ
2sinθ
=0
sinθ=0
θ=πn(n=0,1,2....)
cos(nπ)=1 (when, n=0,2,4.... )
Hence, when both vector in same direction, resultant will be maximum.
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