If r is the position vector given by r=xi ̂+yj ̂+zk ̂, then divergence of unit vector r ̂ is (Full)

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If r is the position vector given by r=xi ̂+yj ̂+zk ̂, then divergence of unit vector r ̂ (trick) If r is the position vector given by r=xi ̂+yj ̂+zk ̂, then divergence of unit vector r ̂ (trick)
If r ⃗ is the position vector given by r =xi ̂+yj ̂+zk ̂, then ∇×(r^(n ) r ) is (a) -3 (b) 0 If r ⃗ is the position vector given by r =xi ̂+yj ̂+zk ̂, then ∇×(r^(n ) r ) is (a) -3 (b) 0
If r is the position vector given by r =xi ̂+yj ̂+zk ̂, then ∇ (r^n ) is (a) nr^(n-1) r ̂ If r is the position vector given by r =xi ̂+yj ̂+zk ̂, then ∇ (r^n ) is (a) nr^(n-1) r ̂
If r is the position vector given by r=xi ̂+yj ̂+zk ̂, then ∇.(r/r^3 ) is (a) -3 (b) 0 (c) 1 (d) 3 If r is the position vector given by r=xi ̂+yj ̂+zk ̂, then ∇.(r/r^3 ) is (a) -3 (b) 0 (c) 1 (d) 3
If r is the position vector given by r=xi ̂+yj ̂+zk ̂, then the gradient of (1/r^3 ) is given by If r is the position vector given by r=xi ̂+yj ̂+zk ̂, then the gradient of (1/r^3 ) is given by
If r ⃗=xi ̂+yj ̂+zk ̂, and (r ⃗×i ̂ ).(r ⃗ ×j ̂ )+xy. If r ⃗=xi ̂+yj ̂+zk ̂, and (r ⃗×i ̂ ).(r ⃗ ×j ̂ )+xy.
Divergence of r hat over r square (dell dot r unit vector by r magnitude) Divergence of r hat over r square (dell dot r unit vector by r magnitude)
Position Vector Calculus Position Vector Calculus