Which of the following is a point wise multiplication?

Correct option is B

Point-wise multiplication refers to multiplying corresponding values of two functions at each point in their domain. This is typically seen in the multiplication of two real-valued functions, where the result at each point xxx is the product of the function values at xxx.
Explanation of Options:
· (a) Multiplication by a vector: This is generally not point-wise unless specified for vector fields.
· (b) Multiplication of two real functions: Correct, as this operation defines point-wise multiplication, where each point in the domain has a product of the function values.
· (c) Multiplication of two imaginary functions: This could involve point-wise multiplication if specified, but typically refers to complex functions, not inherently point-wise.
· (d) Multiplication by a scalar: This is scalar multiplication, not point-wise multiplication, as it applies uniformly across all values.