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Question

Three vectors A,BandC are as shown in figure. If magnitude of A is 4m and A+B+C=0, then the magnitude of BandC are respectively
1133225_055e9724c67b49588beccb1910831485.PNG

A
4m,4m
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B
43m,43m
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C
4m,43m
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D
43m,4m
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Solution

The correct option is D 43m,4m
Breaking B and C into components we get :
Ccos30=Bsin30 ( As vector sum along Y axis =0)
C32=B12
C3=B(1)
Csin30+A=Bcos30 (As vector sum along X axis =0)
C2+4=3C32 ( using equation 1 and A=4 m )
C+8=3C
C=4 m
so B=43m


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