topic Re: Element-Wise Multiplication and Division with Column Vector Variables in Mathcad

Element-Wise Multiplication and Division with Column Vector Variables

thodij — Fri, 20 Feb 2026 05:06:23 GMT

Hello PTC Community.

I am posting a Mathcad Prime 11.0.1.0 worksheet wherein I am evaluating certain quantities by performing element-wise multiplication and division of column vector variables. I believe that I am not doing this right.

Your help will be appreciated.

In MATLAB, it is .* & ./ for element-wise multiplication and division, respectively.

Both the attached Mathcad & Excel sheets work together.

Thank you for your assistance.

Re: Element-Wise Multiplication and Division with Column Vector Variables

ttokoro — Fri, 20 Feb 2026 08:27:14 GMT

Vectorization makes evry T calculation. But nor sure what you want to do.

Re: Element-Wise Multiplication and Division with Column Vector Variables

Werner_E — Fri, 20 Feb 2026 09:29:57 GMT

As ttokoro already had shown, what you are looking for is called "vectorization" in Mathcad and Prime.>

Vectorization is applied if you want a scalar calculation to be done with vectors element-wise. All involved vectors must have the same size and vectorization does not work recursively.

Prime applies vectorization automatically if the operation is not defined for vectors. So when v is a vector (in Prime only column vectors are considered vectors), Prime applies implicit vectorization if you type v² but uses the scalar vector product when you use v*v.

Exponentiation (and likewise division) is not defined for vectors, so instead of issuing an error message, Prime automatically applies vectorization. While this is a convenient approach, it also means that, as in the example below for a*a/b, one might initially assume that the calculation is being performed element by element and continue to compute with incorrect results.

Re: Element-Wise Multiplication and Division with Column Vector Variables

thodij — Fri, 20 Feb 2026 14:20:19 GMT

Excellent! I can always count on my PTC community Brothers and Sisters to share their knowledge and take the time to provide feedback.

Thank you.

Re: Element-Wise Multiplication and Division with Column Vector Variables

thodij — Fri, 20 Feb 2026 15:26:20 GMT

Hi - How were you able to add the constant T = 277°C vertical line with the temperature marker?

Re: Element-Wise Multiplication and Division with Column Vector Variables

thodij — Fri, 20 Feb 2026 15:44:30 GMT

Hello again -

Thanks for plotting these up.

For some reason, even after vectorization, my QSL variable is not evaluating and plotting as you have shown in your plot.

Any thoughts on that?

Thanks.

Re: Element-Wise Multiplication and Division with Column Vector Variables

thodij — Fri, 20 Feb 2026 15:47:49 GMT

Hi - I was able to add the vertical marker, but could not figure out how to change the line style on the vertical marker!

Re: Element-Wise Multiplication and Division with Column Vector Variables

thodij — Fri, 20 Feb 2026 15:52:29 GMT

Hi, I got this vertical marker line style figured out ... it was in plain sight.

Only the QSL plot remains a mystery!

Thanks.

Re: Element-Wise Multiplication and Division with Column Vector Variables

Werner_E — Fri, 20 Feb 2026 16:11:18 GMT

Actually QSL is evaluating and also plotting. The blue trace simply looks like its the x-axis because of a scaling problem.

Both QVL and QSL start in the hundreds of Watt, but QVL goes up to 4,8 * 10^8 W, while QSL just up to 2.2*10^5.

If you need both in the same plot you may limit the y-axis to something like 10^5

or you multiply the QSL values by, let's say, 10^3 which is the same as showing them in mW instead of W (which is what ttokoro had done 🙂 )

Re: Element-Wise Multiplication and Division with Column Vector Variables

thodij — Fri, 20 Feb 2026 17:10:18 GMT

Perfect. That makes sense.

Thanks again.

Have a good weekend!

Re: Element-Wise Multiplication and Division with Column Vector Variables

thodij — Sun, 22 Feb 2026 23:28:43 GMT

Hi,

Now I wonder why the expressions for ge, QBL, and QFL are grayed out!

See attached.

Thanks.

Re: Element-Wise Multiplication and Division with Column Vector Variables

Werner_E — Mon, 23 Feb 2026 00:09:52 GMT

@thodij wrote:

Hi,

Now I wonder why the expressions for ge, QBL, and QFL are grayed out!

See attached.

Thanks.

Looks like you turned off automatic calculation and are in manual calculation mode. So when an expression is edited, the sheet does not update automatically but the edited region and all regions depending on it are greyed out to indicate that they may not show the correct current value.

Once you recalculate the sheet or turn auto calculation on again the regions should update.

Re: Element-Wise Multiplication and Division with Column Vector Variables

thodij — Mon, 23 Feb 2026 00:41:23 GMT

Thank you Sir. It is much appreciated.

Have a great week.

Regards,

thodij