Civil Engineering > GATE 2023 SET-2 > Vector Calculus

Contributed by: Dr. Sarah Chen

Report Correct Copyright Claim

Let φ be a scalar field, and u be a vector field. Which of the following identities is true for div(φu)?

A

div(φu) = φdiv(u) + u ⋅ grad(φ)

B

div(φu) = φdiv(u) + u × grad(φ)

C

div(φu) = φgrad(u) + u ⋅ grad(φ)

D

div(φu) = φgrad(u) + u × grad(φ)

Check Answer

Explanation

Correct : a

Similar Questions

What is the worst-case time complexity of insertion in an AVL tree?

Question #23 Medium

Which operations on a binary search tree have O(h) complexity?

Question #31 Easy

Compare search complexities of sorted array vs balanced BST.

Question #47 Hard

Related Topics

Data Structures Binary Search Tree Time Complexity Algorithm Analysis Tree Algorithms Computer Science