The magnitude of resultant of two vectors is 12 units if the magnitude of one vector is 20 units and the resultant vector is 90° to the other vector then the magnitude of other vecter will be______
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This is an important result to remember. Two vectors at 120 degree produce a vector equal to their magnitude. Let their magnitude be a,
Resultant = a =
(a
2
+a
2
+2×a×a×cosθ)
= a
(2+2cosθ)
=> cosθ =−
2
1
=>θ = 120
0
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