Find a scalar field, O, whose gradient is the irrotational vector V= (x²-yz, y²x, ² - xy) In other words, find such that Vo=V₁ Note: o= • Remember that your tutorial has Hints in it, at the end of each chapter. If you're stuck, they are often quite useful! If the answer is a scalar, you can just type it in the box (using the Calcpad if you like, or using / for fractions, ^ for exponents, shift and - for subscripts, etc.) For multiplication, you can either leave a space, or use *. So x*x=xx = r². Note that this is not the same as xx without a space; that will get read as an entirely different variable! • If you need to enter a vector, enter an ordered list of components, so for A you can enter either A = (A₂, Ay, A₂) = {A₂, A, A₂}. Note that the system isn't great with multiplying through by overall factors, so it's better not to write e.g. (24₂, 24, 24₂).

Find a scalar field, O, whose gradient is the irrotational vector V= (x²-yz, y²x, ² - xy) In other words, find such that Vo=V₁ Note: o= • Remember that your tutorial has Hints in it, at the end of each chapter. If you're stuck, they are often quite useful! If the answer is a scalar, you can just type it in the box (using the Calcpad if you like, or using / for fractions, ^ for exponents, shift and - for subscripts, etc.) For multiplication, you can either leave a space, or use . So xx=xx = r². Note that this is not the same as xx without a space; that will get read as an entirely different variable! • If you need to enter a vector, enter an ordered list of components, so for A you can enter either A = (A₂, Ay, A₂) = {A₂, A, A₂}. Note that the system isn't great with multiplying through by overall factors, so it's better not to write e.g. (24₂, 24, 24₂).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

See similar textbooks