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If veca and vecb are unit vectors incli...

If ` veca and vecb` are unit vectors inclined to x-axis at angle ` 30^(@) and 120^(@)` then ` |veca +vecb|` equals

A

`sqrt((2)/(3))`

B

`sqrt2`

C

`sqrt3`

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Clearly, angle between a and `b=pi/2`
`implies a.b=0`
`:. |a+b|^(2)=a^(2)+b^(2)+2a.b=1+1+0=2`
`implies |a+b|=sqrt(2)`
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