If →a=3^i+4^j and →b=7^i+24^j, then find the vector having the same magnitude as →b and same direction as →a.
A
20^i+15^j
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B
15^i+18^j
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C
15^i+20^j
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D
18^i+15^j
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Solution
The correct option is C15^i+20^j Given, →a=3^i+4^j and →b=7^i+24^j
To get direction we will find unit vector in the direction of →a, ^a=→a|→a|=3^i+4^j√32+42=35^i+45^j
So, required vector =|→b|^a =√72+242(35^i+45^j) =√625(35^i+45^j) |→b|^a=15^i+20^j