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

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If r is the position vector given by r=xi ̂+yj ̂+zk ̂, then divergence of unit vector r ̂ is (Full) If r is the position vector given by r=xi ̂+yj ̂+zk ̂, then divergence of unit vector r ̂ is (Full)
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 ∇ (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 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 then div. r is equal to If r =xi+yj+zk then div. r is equal to
If r ⃗=xi ̂+yj ̂+zk ̂, and (r ⃗×i ̂ ).(r ⃗ ×j ̂ )+xy. If r ⃗=xi ̂+yj ̂+zk ̂, and (r ⃗×i ̂ ).(r ⃗ ×j ̂ )+xy.
PROBLEMS ON DIVERGENCE AND CURL-3 PROBLEMS ON DIVERGENCE AND CURL-3
#1.12 a=r=xi+yj+zk [Vector Lines of a Radius Vector] #1.12 a=r=xi+yj+zk [Vector Lines of a Radius Vector]