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Question

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 C 15^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^j32+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

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