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hati and hatj are unit vectors along x a...

`hati and hatj` are unit vectors along x and y axis. What is the magnitude and direction of the vector `hati + hatj` ?

A

`1.414, 45^(@)`

B

`1.732, 45^(@)`

C

`1.850, 30^(@)`

D

`1.325,60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`|hati + hatj| = sqrt(1^(2) + 1^(2) +2xx1xx1xx cos 90^(@))`
`(because" Angle between "hati and hatj =90^(@))`
`=sqrt(2) =1.414` units and `tan theta =(1)/(1)=1" "therefore theta =45^(@)`
Thus the magnitude of the vector `vec I + vec j` is 1.414 and it makes an angle of `45^(@)` with x axis.
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