Subnetting: Access 10.1.0.1 from 10.1.2.1?

Here is the newly configured vlan on my Juniper:

vlans {
    vlan1 {
        vlan-id 3;
        l3-interface vlan.1;
    }
}
interfaces {
    vlan {
        unit 1 {
            family inet {
                sampling {
                    input;
                    output;
                }
                address 10.1.0.1/24;
            }
        }
    }
}

If I set my PC statically to 10.1.0.2 with a subnet mask of 255.255.0.0 I can ping/access the Juniper. However, if I set my PC to 10.1.2.2 with the same subnet, I cannot access it.

Clearly, I'm new to vlans and subnetting, but my understanding was that with a mask of 255.255.0.0 I would be able to access 10.1.*.*.

What do I need to do so that my workstations can be set to 10.1.2.x and access networking devices on 10.1.0.x and servers on 10.1.1.x? Is there something I'm missing on the Juniper?