I want to work (cross products, differentiating and simplificating) of three dimensional vector functions.

But I'd like to work with them as vector, not as components. Is it available in Maple?

I'm trying to display some flow lines for a vector field. The vector field I have is:

What I put into Maple is:

I've tried this with a number of points, but I always get an error message along the lines of:

"Error, (in Student:-VectorCalculus:-FlowLine) cannot determine if this expression is true or false: (2.*(1)(0)-4.)^2+(-2.+4.*(1)(0))^2 < 0.9e-9"

Could someone please shed some light as to what's going wrong for me? I would be very grateful for any help.

Thanks.

How can version 17 be forced to produce [VectorCalculus]TangentLine results consistent with previous versions?

Suppose you have a 3D position vector defining a curve using a parameter t. One can evaluate the curve at a specific value of t. Say the point is p. One can differentiate the curve and evaluate it at the specified value of t. Say the result is the vector v. Then the tangent line is p + tv. The VectorCalculus Tangent Line...

I can get the tangent line by using "Tangent" Then what about the normal plane

Tangent(t->{t, t^2, t^3}, t = 2)

See attached. I am not sure but I think eq #4 is the same as the HESSIAN operator. Why can I not get MAPLE to express this in the form of a matrix with the NABLA command? Note the discrepancy of NABLA with theDELoperator as well shown by eq's 5 & 6.

Am I missing some command to get NABLA to carry out the correct operation or am I not interpreting what NABLA actually is?

regards

The directional derivative of a scalar function , computed in the direction u in Cartesian coordinates, is defined by

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