other things Flashcards
What is a scalar field?
Where ever 3D point has a scalar value attributed. Denoted by Φ
How do you find the gradient of a scalar field in a point in 3D space?
Apply partial differentiation to each part of the equation of the scalar field Substitute the values of the point and it should be a vector in 3D space.
How would you integrate an equation along a line?
Substitute the equation of the line into that of the equation and integrate.
How do you find the y co-ordinate of the centre of gravity?
What are the equations to find the work done a long a curve?
How can you find the total differential of a multivaraite function?
How do you find stationary points in a multivariate equation?
How do you find maxima and minima?
How do you find the gradient of scalar field in a particular direction?
How do you find the cross product of two vectors?
How do you find the divergence of a vector field?
What does the curl of a vector field represent?
It represents tendency of particles to rotate about axis in direction of 𝑐𝑢𝑟𝑙 𝐹 vector at point (x,y,z)
• For a conservative vector field F, 𝑐𝑢𝑟𝑙 𝐹 = 0
How do you find the curl of a vector field?
