Given A=2i^+3j^ andB=i^+j^ . The component of vector A along vector B is
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a
12(i^+j^)
b
32(i^+j^)
c
52(i^+j^)
d
72(i^+j^)
answer is C.
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Detailed Solution
The component of vector A along vector B=(A . B)B^ where B^=B→B where B is the magnitude of vector B. now (A . B)=(2i^+3j^). (i^+j^) =2i^.i^+2i^.j^+3j^.i^+3j^.j^ =2+0+0+3=5Also B=B→B=i^+j^i⏜+j⏜=i^+j^12+12=12(i^+j^)Thus the answer is 52(i^+j^)