This response is not meant to be taken too seriously - just a proof that this can almost be achieved using some hacks.
class Vector(values: Int*) {
  val data = values.toArray
  def < (i:Int) = new {
    def `>_=`(x: Int) {
      data(i) = x
    }
    def > {
      println("value at "+ i +" is "+ data(i))
    }
  }
  override def toString = data.mkString("<", ", ", ">")
}
val v = new Vector(1, 2, 3)
println(v) // prints <1, 2, 3>
v<1> = 10
println(v) // prints <1, 10, 3>
v<1> // prints: value at 1 is 10
Using this class we can have a vector that uses <> instead of () for "read" and write access.
The compiler (2.9.0.1) crashes if > returns a value. It might be a bug or a result of misusing >.