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What displacement at an angle 60^(@) to ...

What displacement at an angle `60^(@)` to the x-axis has an x-component of 5`m`? `hat(i)` and `hat(j)` are unit vector in x and y directions, respectively.

A

`5hat(i)`

B

`5hat(i)+5hat(j)`

C

`5hat(i)+5sqrt(3)hat(j)`

D

All of the above

Text Solution

Verified by Experts

The correct Answer is:
C
In first option (a), vector is along the x-axis (figure)

(b), angle of vector with the x-axis
`tan theta=5/5=1 rArr theta 45^(@)`
(C ),angle of vector with the x-axis
`tan alpha =(5sqrt(3))/5= sqrt(3) rArr alpha=(5sqrt(3))/5= sqrt(3) rArr alpha=60^(@)`
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