In a rectangle ABCD where A is origin as shown in the figure, what is −−→AB+−−→AD ?
A
4^i+5^j
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B
5^i+4^j
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C
4^i+4^j
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D
5^i+5^j
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Solution
The correct option is B5^i+4^j The length AB and AD can be written in the vector form as −−→AB=5^i+0^j and −−→AD=0^i+4^j Thus, −−→AB+−−→AD=(5^i+0^j)+(0^i+4^j)=5^i+4^j