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Question

Unit vector parallel to the resultant of vectors A=4^i3^j and B=8^i+8^j


A

24^i+5^j13

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B

12^i+5^j13

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C

6^i+5^j13

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D

None of these

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Solution

The correct option is B

12^i+5^j13


Resultant of vectors A and B
R=A+B=4^i3^j+8^i+8^j=12^i+5^j
^R=R|R|=12^i+5^j(12)2+(5)2=12^i+5^j13


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