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How to rotate a vector to make it tangent

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You can do this with two cross products.

First you take the normal, and cross it with v to get a vector orthogonal to both N and v. Then you cross that vector with N again, to get your original vector, but now orthogonal to both N and the other vector you already generated; this means it'll be tangent to your sphere.

vector tmp = cross(v@v, v@N);
v@v = cross(tmp, v@N);

Also, make sure your v@v attribute you're creating has three components, not two.

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Thank you very much.
I was able to create the vector that I wanted.

image.png.81967b591c89968664e49ad2c0ad778c.png

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