Slice group along curve path

Hi,
I’m an Arch student. First post on this forum, so forgive me if I didn’t post it I the right place.

Is there a way to slice these solid groups to the normal (perpendicular to tangent) of the organic path (highlighted in blue)?

Screenshot:

screenshot11587×838 118 KB

I created these solid groups with Curviloft.

I tried finding tutorials, or related posts but can’t seem to find a solution. If someone could show me how to do it or link me to a solution I would appreciate it!

Do let me know if my question isn’t clear. Thanks in advance!

EDIT:
Sorry for the misunderstanding. I meant to slice it like slicer5 plugin but not in one direction. To slice it like slicer5 plugin along a path

screenshot21312×798 301 KB

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