3 - Given a scalar field T = (x +3)y² sin(2z) and a vector field Ä = ryi + y²(z+5)k, calculate (3) the following (1) Gradient of T: VT (2) Divergence of Ã: ỹ · à (3) Curl of Ã: Ÿ × Ã (4) ỹ · (V × Ã) (5) V²Ã (6) V × (V × Ã)

icon
Related questions
Question

solve only ( 4 ,5 ,6 )

 

3 - Given a scalar field T = (x+3)y² sin(2z) and a vector field A = ryi + y?(z+5)k, calculate
the following
(1) Gradient of T: VT
(2) Divergence of A: ỹ · Ã
(3) Curl of Ã: 7 × Ã
(4) マ-(マ× A)
(5) V²Ã
(6) マ×(マxA)
Transcribed Image Text:3 - Given a scalar field T = (x+3)y² sin(2z) and a vector field A = ryi + y?(z+5)k, calculate the following (1) Gradient of T: VT (2) Divergence of A: ỹ · à (3) Curl of Ã: 7 × Ã (4) マ-(マ× A) (5) V²Ã (6) マ×(マxA)
Expert Solution
Step 1

The gradient function is given by:

=i^x+j^y+k^z

Thus, we will use this expression to solve the problem.

steps

Step by step

Solved in 2 steps

Blurred answer