In Zig, basic operations on vectors with standard operators work fine. "+", for example.

  const meta = @import("std").meta;
  
  test "vector add" {
     const x: @Vector(4, f32) = .{ 1, -10, 20, -1 };
     const y: @Vector(4, f32) = .{ 2, 10, 0, 1 };
     const z = x + y;
     try expect(meta.eql(z, @Vector(4, f32){ 3, 0, 20, 0 }));
  }

Everything is element-wise, which matches what the shading languages do (mostly).

But, yes, you won't get overloading allowing things like dot, cross, or scalar products. And I do miss the swizzle notation, but I don't think the language actually prevents that so it might appear at some point.