Set Forward AND Right of a transform

Scripting
1

So I have this mesh that works as a watersurface. There are waves propagating through the level, so the surface changes constantly.
And I have a boat that I want to align to the water surface.
Therefor the boat checks the height of the water at four positions (front, back, left right). I wanted to set the forward vector and the right vector of the boats transform to be the Delta between front ↔ back and left ↔ right respectively. But this does not work as Setting the forward vector will zero out / reset the right vector and vice versa. So theres always only one direction correct, the other flat.
Any ideas how to assign both of them at the same time?
Thanks

2

Haven’t tested it but something like this:

Vector3 rightProjected = Vector3.ProjectOnPlane(desiredForwardVector, desiredRightVector).normalized; // makes sure the vectors are perpendicular. You can skip this if you are already sure they are.
transform.rotation = Quaternion.LookRotation(desiredForwardVector, rightProjected); // sets the forward vector to desiredForwardVector and the up vector to rightProjected. Now we need to rotate it so the right vector is at rightProjected
transform.rotation *= Quaternion.AngleAxis(-90f/*this might need to be positive*/, transform.forward);
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3

You can use Vector3.Cross(forward, right) to get the up (or normal) of your boat, then feed that into the second parameter of Quaternion.LookRotation(forward).

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