Divergence of the three-dimensional radial vector field

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Divergence of the three-dimensional radial vector field ^{^→}r is

1. 3
2. 1 / r

Correct Option: A

Let three dimensional field, ^{^→}r = xî + yĵ + zk̂

∴ ∇ .^{^→}r =		d	î +	d	ĵ +	d	k̂		.(xî + yĵ + zk̂)
		dx		dy		dz

⇒ ∇ =	d	. x +	d	. y +	d	. z
	dx		dy		dz

= 1 + 1 + 1 = 3