Applied Mathematics for Electrical Engineering (3130908)

BE | Semester-3   Winter-2019 | 26-11-2019

Q2) (c ( i )) 

Using the relation between the operators, prove that, ( 1 + ∆ ) ( 1 - ∇ ) = 1.

( 1 + ∆ ) ( 1 - ∇ )
 
= 1 - ∇ + ∆ - ∆ · ∇
 
= 1 - ∇ + ∆ - ( ∆ - ∇ )
 
= 1