function removeFirstMatchIntoArr(tag, arr) {
    for (var row = 0; row < arr.length; row++) {
        if (arr[row][0] == tag[0] && arr[row][1] == tag[1]) {
            arr.splice(row, 1);
            return arr;
        }
    }

    return arr;
}

var arr = [['a','b'],['c','d'],['e','f']];
var tag = ['a', 'b'];

console.log("Genuine array :" + arr);

arr = removeFirstMatchIntoArr(tag, arr);

console.log("Array with element removed :" + arr);