in Calculus recategorized by
0 votes
0 votes

Consider the following continuously differentiable function $$\textbf{v}(x,y,z)=3x^2y \textbf{ i} + 8y^2z \textbf{ j} + 5xyz \textbf{ k}$$ where $\textbf{i, j,}$ and $\textbf{k}$ represent the respective unit vectors along the $x,y,$ and $z$ directions in the Cartesian coordinate system. The curl of this function is

  1. $-3x^2 \textbf{ i}-8y^2 \textbf{ j} +5z(x+y) \textbf{ k}$
  2. $6xy \textbf{ i}-16 yz \textbf{ j} +5xy \textbf{ k}$
  3. $(5xz-8y^2) \textbf{ i}-5yz \textbf{ j} -3x^2 \textbf{ k}$
  4. $y(11x+16z)$
in Calculus recategorized by
1.8k points

Please log in or register to answer this question.

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
Welcome to GATE Chemical Q&A, where you can ask questions and receive answers from other members of the community.