Consider the following in respect of the vectors \(\rm \vec{a}=(1,0,0)\) and \(\rm \vec{b}=(1,1,1) \) :

1. The projection of \(\rm \vec{a}\) on \(\rm \vec{b}\) is \({{{​​1}}\over {{\sqrt{3}}}}\)

2. The angle between the vectors is \(\frac{\pi}{3}\).

Which of the statements given above is/are correct?

1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2

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