need some intuition for gradient

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[west bough]

What do you mean?

[empty solstice]

like for example z=f(x,y)

the gradient is a 2d vector right?

telling u where the maximum ascent is

but then isnt gradient also perpendicular to the tangent space

how can this 2d vector be perpendicular to a plane thats in 3d

[empty solstice]

idk how this works

[west bough]

Okay, you're talking about multidimensional calculus. This should go in the university channel and be tagged appropriately.

[empty solstice]

ah im new here, but r u able to help me with this

[west bough]

If you were talking about standard 2D calculus, I could, but I don't know what you're talking about with "tangent space".

[empty solstice]

nvm then ill move this to university channel